-
Previous Article
Radial symmetry for logarithmic Choquard equation involving a generalized tempered fractional $ p $-Laplacian
- DCDS-S Home
- This Issue
-
Next Article
Chaotic oscillations of linear hyperbolic PDE with variable coefficients and implicit boundary conditions
$ \mathcal{H}_{\infty} $ control for fuzzy markovian jump systems based on sampled-data control method
1. | Liaocheng University, School of Mathematics Science, Liaocheng 252000, P. R. China |
2. | Shandong University of Science and Technology, College of Mathematics and Systems Science, Qingdao 266590, China |
This paper investigates the problems of $ \mathcal{H}_{\infty} $ performance analysis and sampled-data control about fuzzy Markovian jump systems. Firstly, in order to make full use of the information of both intervals $ x(t_{k}) $ to $ x(t) $ and $ x(t) $ to $ x(t_{k+1}) $, we construct the mode-dependent Lyapunov function, which consists of a two-sided closed-loop function. Built on the above Lyapunov function, the stochastically stable conditions with less conservative are given by using linear matrices inequalities (LMIs). Then, a state feedback controller is presented for the studied systems. At last, an example is offered to illustrate the efficiency of our main results.
References:
[1] |
X. Chang and G. Yang,
Nonfragile $H_{\infty}$ filtering of continuous-time fuzzy systems, IEEE Transactions on Signal Processing, 59 (2011), 1528-1538.
doi: 10.1109/TSP.2010.2103068. |
[2] |
X. Chang, Robust nonfragile $H_{\infty}$ filtering of fuzzy systems with linear fractional parametric uncertainties, IEEE Transactions on Fuzzy Systems, 20 (2012), 1001-1011. Google Scholar |
[3] |
G. L. Chen, J. Sun and J. Chen,
Mean square exponential stabilization of sampled-data Markovian jump systems, Int J Robust Nonlinear Control, 28 (2018), 5876-5894.
doi: 10.1002/rnc.4351. |
[4] |
G. Chen, J. Xia and G. Zhuang,
Delay-dependent stability and dissipativity analysis of generalized neural networks with Markovian jump parameters and two delay components, J. Frankl. Inst, 353 (2016), 2137-2158.
doi: 10.1016/j.jfranklin.2016.02.020. |
[5] |
L. S. Hu, P. Shi and P. M. Frank,
Robust sampled-data control for Markovian jump linear systems, Automatica, 42 (2006), 2025-2030.
doi: 10.1016/j.automatica.2006.05.029. |
[6] |
J. Leng, H. Zhang, D. Yan, Q. Liu, X. Chen and D. Zhang,
Digital twin-driven manufacturing cyber-physical system for parallel controlling of smart workshop, Journal of Ambient Intelligence and Humanized Computing, 10 (2019), 1155-1166.
doi: 10.1007/s12652-018-0881-5. |
[7] |
X. Li, X. Yang and T. Huang,
Persistence of delayed cooperative models: Impulsive control method, Applied Mathematics and Computation, 342 (2019), 130-146.
doi: 10.1016/j.amc.2018.09.003. |
[8] |
X. Li, J. Shen and R. Rakkiyappan,
Persistent impulsive effects on stability of functional differential equations with finite or infinite delay, Applied Mathematics and Computation, 329 (2018), 14-22.
doi: 10.1016/j.amc.2018.01.036. |
[9] |
X. Li and M. Bohner,
An impulsive delay differential inequality and applications, Computers and Mathematics with Applications, 64 (2012), 1875-1881.
doi: 10.1016/j.camwa.2012.03.013. |
[10] |
X. Liang, J. Xia, G. Chen, H. Zhang and Z. Wang,
Dissipativity-based sampled-data control for fuzzy Markovian jump systems, Applied Mathematics and Computation, 361 (2019), 552-564.
doi: 10.1016/j.amc.2019.05.038. |
[11] |
F. Li, P. Shi, C. Lim and L. Wu,
Fault detection filtering for nonhomogeneous markovian jump systems via a fuzzy approach, IEEE Transactions on Fuzzy Systems, 26 (2018), 131-141.
doi: 10.1109/TFUZZ.2016.2641022. |
[12] |
C. Lin, G. Wang, T. Lee and Y. He, LMI Approach to Analysis and Control of Takagi-Sugeno Fuzzy Systems With Time Delay, Lecture Notes in Control and Information Sciences, 351. Springer, Berlin, 2007. |
[13] |
X. Liang, J. Xia, G. Chen, H. Zhang and Z. Wang,
Dissipativity-based non-fragile sampled-data control for fuzzy Markovian jump systems, Int. J. Fuzzy Syst., 21 (2019), 1709-1723.
doi: 10.1007/s40815-019-00691-1. |
[14] |
J. H. Park, H. Shen, X. H. Chang and T. H. Lee, Recent Advances in Control and Filtering of Dynamic Systems with Constrained Signals, Cham, Switzerland: Springer, 2019.
doi: 10.1007/978-3-319-96202-3. |
[15] |
J. H. Park, T. H. Lee, Y. Liu and J. Chen, Dynamic Systems with Time Delays: Stability and Control, Singapore, Springer-Nature, 2019.
doi: 10.1007/978-981-13-9254-2. |
[16] |
H. Shen, J. H. Park, L. Zhang and Z. G. Wu,
Robust extended dissipative control for sampled-data Markov jump systems, Int J Control, 87 (2014), 1549-1564.
doi: 10.1080/00207179.2013.878478. |
[17] |
P. Shi, F. Li, L. Wu and C. C. Lim,
$h_{\infty}$ Neural network-based passive filtering for delayed neutral-type semi-Markovian jump systems, IEEE Trans Neural Netw Learn Syst, 28 (2017), 2101-2114.
|
[18] |
X. Song, Z. Wang and H. Shen, et al, A unified method to energy-to-peak filter design
for networked Markov switched singular systems over a finite-time interval, Journal of the
Franklin Institute, 354 (2017), 7899–7916.
doi: 10.1016/j.jfranklin.2017.09.018. |
[19] |
X. Song, M. Wang and S. Song, et al, Reliable state estimation for Markovian jump reactiondiffusion neural networks with sensor saturation and asynchronous failure, IEEE Access, 6
(2018), 50066–50076.
doi: 10.1109/ACCESS.2018.2868060. |
[20] |
X. Song, S. Song and Bo Li,
Adaptive projective synchronization for time-delayed fractional-order neural networks with uncertain parameters and its application in secure communications, Transactions of the Institute of Measurement and Control, 40 (2018), 3078-3087.
doi: 10.1177/0142331217714523. |
[21] |
S. Song and X. Song,
Multi-switching adaptive synchronization of two fractional-order chaotic systems with different structure and different order, International Journal of Control, Automation and Systems, 15 (2017), 1524-1535.
doi: 10.1007/s12555-016-0097-4. |
[22] |
W. Sun, J. Xia, G. Zhuang, X. Huang and H. Shen,
Adaptive fuzzy asymptotically tracking control of full state constrained nonlinear system based on a novel Nussbaum-type function, Journal of the Franklin Institute, 356 (2019), 1810-1827.
doi: 10.1016/j.jfranklin.2018.11.023. |
[23] |
W. Sun, S. Su, Y. Wu, J. Xia and V. Nguyen, Adaptive fuzzy control with high-order barrier Lyapunov functions for high-order uncertain nonlinear systems with full-state constraints, IEEE Transactions on Cybernetics, 2019, 1–9.
doi: 10.1109/TCYB.2018.2890256. |
[24] |
W. Sun, S. Su, J. Xia and V. Nguyen,
Adaptive fuzzy tracking control of flexible-joint robots with full-state constraints, IEEE Transactions on Systems, Man, and Cybernetics: Systems, 49 (2019), 2201-2209.
doi: 10.1109/TSMC.2018.2870642. |
[25] |
W. Sun, S. Su, G. Dong and W. Bai, Reduced adaptive fuzzy tracking control for high-order stochastic nonstrict feedback nonlinear system with full-state constraints, IEEE Transactions on Systems, Man, and Cybernetics: Systems, 2019, 1–11.
doi: 10.1109/TSMC.2019.2898204. |
[26] |
W. Sun, S. Su, J. Xia and Y. Wu, Adaptive tracking control of wheeled inverted pendulums with periodic disturbances, IEEE Transactions on Cybernetics, 50 (2020), 1867–1876.
doi: 10.1109/TCYB.2018.2884707. |
[27] |
H. Shen, Z. Wang, X. Huang and J. Wang,
Fuzzy dissipative control for nonlinear Markovian jump systems via retarded feedback, J. Frankl.Inst, 351 (2014), 3797-3817.
doi: 10.1016/j.jfranklin.2013.02.031. |
[28] |
H. Shen, Y. Z. Men, Z. G. Wu and J. H. Park, Nonfragile $\mathcal{H}_{\infty}$ control for fuzzy Markovian jump systems under fast sampling singular perturbation, IEEE Transactions on Fuzzy Systems, 48 (2018), 2058-2069. Google Scholar |
[29] |
H. Shen, F. Li, H. Yan, H. Karimi and H. Lam, Finite-time event-triggered $\mathcal{H}_{\infty}$ control for T-S fuzzy Markov jump systems, IEEE Transactions on Fuzzy Systems, 26 (2018), 3122-3135. Google Scholar |
[30] |
J. Wang, H. Wu, L. Guo and Y. Luo,
Robust $H_{\infty}$ fuzzy control for uncertain nonlinear Markovian jump systems with time-varying delay, Fuzzy Sets and Systems, 212 (2013), 41-61.
doi: 10.1016/j.fss.2012.07.010. |
[31] |
Z. G. Wu, P. Shi, H. Su and J. Chu,
Asynchronous $l_{2}-l_{\infty}$ filtering for discrete-time stochastic Markov jump systems with randomly occurred sensor nonlinearities, Automatica, 50 (2014), 180-186.
doi: 10.1016/j.automatica.2013.09.041. |
[32] |
Z. Wu, P. Shi, H. Su and R. Lu,
Dissipativity-based sampled-data fuzzy control design and its application to truck-trailer system, IEEE Transactions on Fuzzy Systems, 23 (2015), 1669-1679.
doi: 10.1109/TFUZZ.2014.2374192. |
[33] |
J. Xia, G. Chen and W. Sun,
Extended dissipative analysis of generalized Markovian switching neural networks with two delay components, Neurocomputing, 260 (2017), 275-283.
doi: 10.1016/j.neucom.2017.05.005. |
[34] |
J. Xia, J. Zhang, J. Feng, Z. Wang and G. Zhuang, Command filter-based adaptive fuzzy control for nonlinear systems with unknown control directions, IEEE Transactions on Systems, Man and Cybernetics: Systems, In Press. Google Scholar |
[35] |
J. Xia, J. Zhang, W. Sun, B. Y. Zhang and Z. Wang,
Finite-time adaptive fuzzy control for nonlinear systems with full state constraints, IEEE Transactions on Systems, Man and Cybernetics: Systems, 49 (2019), 1541-1548.
doi: 10.1109/TSMC.2018.2854770. |
[36] |
S. Y. Xu, J. Lam and X. R. Mao,
Delay-dependent $H_{\infty}$ control and filtering for uncertain markovian jump systems with time-varying delays, IEEE Transactions on Circuits and Systems, 54 (2007), 2070-2077.
doi: 10.1109/TCSI.2007.904640. |
[37] |
D. Yang, X. Li and J. Qiu,
Output tracking control of delayed switched systems via state-dependent switching and dynamic output feedback, Nonlinear Analysis: Hybrid Systems, 32 (2019), 294-305.
doi: 10.1016/j.nahs.2019.01.006. |
[38] |
X. Yang, X. Li, Q. Xi and P. Duan,
Review of stability and stabilization for impulsive delayed systems, Mathematical Biosciences and Engineering, 15 (2018), 1495-1515.
doi: 10.3934/mbe.2018069. |
[39] |
H. Zeng, K. Teo, Y. He, H. Xu and W. Wang,
Sampled-data synchronization control for chaotic neural networks subject to actuator saturation, Neurocomputing, 260 (2017), 25-31.
doi: 10.1016/j.neucom.2017.02.063. |
[40] |
H. Zeng, Y. He, M. Wu and J. She,
Free-matrix-based integral inequality for stability analysis of systems with time-varying delay, IEEE Trans. Automat. Contr, 60 (2015), 2768-2772.
doi: 10.1109/TAC.2015.2404271. |
[41] |
H. Zeng, K. Teo and Y. He,
A new looped-functional for stability analysis of sampled-data systems, Automatica, 82 (2017), 328-331.
doi: 10.1016/j.automatica.2017.04.051. |
[42] |
H. Zeng, K. Teo, Y. He and W. Wang,
Sampled-data-based dissipative control of T-S fuzzy systems, Applied Mathematical Modelling, 65 (2019), 415-427.
doi: 10.1016/j.apm.2018.08.012. |
[43] |
G. Zhuang, J. Xia, W. Sun, Q. Ma, Z. Wang and Y. Wang,
Normalization and stabilization of neutral descriptor hybrid systems based on P-D feedback control, Journal of the Franklin Institute, 357 (2020), 1070-1089.
doi: 10.1016/j.jfranklin.2019.10.020. |
[44] |
B. Zhang, W. X. Zheng and S. Xu,
$h_{\infty}$ Filtering of Markovian jump delay systems based on a new performance index, IEEE Trans Circuits Syst I Reg Pap, 60 (2013), 1250-1263.
doi: 10.1109/TCSI.2013.2246213. |
[45] |
J. Zhang, J. Xia, W. Sun, G. Zhuang and Z. Wang,
Finite-time tracking control for stochastic nonlinear systems with full state constraints, Applied Mathematics and Computation, 338 (2018), 207-220.
doi: 10.1016/j.amc.2018.05.040. |
[46] |
J. Zhang, X. Liang and J. Xia, Adaptive tracking control for stochastic nonlinear systems with full state constraints, Journal of Liaocheng University (Natural Science Edition), 32 (2019), 8-13. Google Scholar |
[47] |
G. Zhuang, S. Xu, J. Xia, Q. Ma and Z. Zhang,
Non-fragile delay feedback control for neutral stochastic Markovian jump systems with time-varying delays, Applied Mathematics and Computation, 355 (2019), 21-32.
doi: 10.1016/j.amc.2019.02.057. |
[48] |
G. Zhuang, Q. Ma, B. Zhang, S. Xu and J. Xia,
Admissibility and stabilization of stochastic singular Markovian jump systems with time delays, Systems and Control Letters, 114 (2018), 1-10.
doi: 10.1016/j.sysconle.2018.02.004. |
[49] |
G. Zhuang, S. Xu, B. Zhang, H. Xu and Y. Chu,
Robust $H_{\infty}$ deconvolution filtering for uncertain singular Markovian jump systems with time-varying delays, International Journal of Robust and Nonlinear Control, 26 (2016), 2564-2585.
doi: 10.1002/rnc.3461. |
[50] |
G. Zhuang, S. Xu, J. Xia, Q. Ma and Z. Zhang,
Non-fragile delay feedback control for neutra stochastic Markovian jump systems with time-varying delays, Applied Mathematics and Computation, 355 (2019), 21-32.
doi: 10.1016/j.amc.2019.02.057. |
[51] |
G. Zhuang, J. Xia, J. Feng, W. Sun and B. Zhang,
Admissibilization for implicit jump systems with mixed retarded delays based on reciprocally convex integral inequality and Barbalat's lemma, IEEE Trans. Syst., Man, Cybern., 16 (2020), 1-11.
doi: 10.1109/TSMC.2020.2964057. |
show all references
References:
[1] |
X. Chang and G. Yang,
Nonfragile $H_{\infty}$ filtering of continuous-time fuzzy systems, IEEE Transactions on Signal Processing, 59 (2011), 1528-1538.
doi: 10.1109/TSP.2010.2103068. |
[2] |
X. Chang, Robust nonfragile $H_{\infty}$ filtering of fuzzy systems with linear fractional parametric uncertainties, IEEE Transactions on Fuzzy Systems, 20 (2012), 1001-1011. Google Scholar |
[3] |
G. L. Chen, J. Sun and J. Chen,
Mean square exponential stabilization of sampled-data Markovian jump systems, Int J Robust Nonlinear Control, 28 (2018), 5876-5894.
doi: 10.1002/rnc.4351. |
[4] |
G. Chen, J. Xia and G. Zhuang,
Delay-dependent stability and dissipativity analysis of generalized neural networks with Markovian jump parameters and two delay components, J. Frankl. Inst, 353 (2016), 2137-2158.
doi: 10.1016/j.jfranklin.2016.02.020. |
[5] |
L. S. Hu, P. Shi and P. M. Frank,
Robust sampled-data control for Markovian jump linear systems, Automatica, 42 (2006), 2025-2030.
doi: 10.1016/j.automatica.2006.05.029. |
[6] |
J. Leng, H. Zhang, D. Yan, Q. Liu, X. Chen and D. Zhang,
Digital twin-driven manufacturing cyber-physical system for parallel controlling of smart workshop, Journal of Ambient Intelligence and Humanized Computing, 10 (2019), 1155-1166.
doi: 10.1007/s12652-018-0881-5. |
[7] |
X. Li, X. Yang and T. Huang,
Persistence of delayed cooperative models: Impulsive control method, Applied Mathematics and Computation, 342 (2019), 130-146.
doi: 10.1016/j.amc.2018.09.003. |
[8] |
X. Li, J. Shen and R. Rakkiyappan,
Persistent impulsive effects on stability of functional differential equations with finite or infinite delay, Applied Mathematics and Computation, 329 (2018), 14-22.
doi: 10.1016/j.amc.2018.01.036. |
[9] |
X. Li and M. Bohner,
An impulsive delay differential inequality and applications, Computers and Mathematics with Applications, 64 (2012), 1875-1881.
doi: 10.1016/j.camwa.2012.03.013. |
[10] |
X. Liang, J. Xia, G. Chen, H. Zhang and Z. Wang,
Dissipativity-based sampled-data control for fuzzy Markovian jump systems, Applied Mathematics and Computation, 361 (2019), 552-564.
doi: 10.1016/j.amc.2019.05.038. |
[11] |
F. Li, P. Shi, C. Lim and L. Wu,
Fault detection filtering for nonhomogeneous markovian jump systems via a fuzzy approach, IEEE Transactions on Fuzzy Systems, 26 (2018), 131-141.
doi: 10.1109/TFUZZ.2016.2641022. |
[12] |
C. Lin, G. Wang, T. Lee and Y. He, LMI Approach to Analysis and Control of Takagi-Sugeno Fuzzy Systems With Time Delay, Lecture Notes in Control and Information Sciences, 351. Springer, Berlin, 2007. |
[13] |
X. Liang, J. Xia, G. Chen, H. Zhang and Z. Wang,
Dissipativity-based non-fragile sampled-data control for fuzzy Markovian jump systems, Int. J. Fuzzy Syst., 21 (2019), 1709-1723.
doi: 10.1007/s40815-019-00691-1. |
[14] |
J. H. Park, H. Shen, X. H. Chang and T. H. Lee, Recent Advances in Control and Filtering of Dynamic Systems with Constrained Signals, Cham, Switzerland: Springer, 2019.
doi: 10.1007/978-3-319-96202-3. |
[15] |
J. H. Park, T. H. Lee, Y. Liu and J. Chen, Dynamic Systems with Time Delays: Stability and Control, Singapore, Springer-Nature, 2019.
doi: 10.1007/978-981-13-9254-2. |
[16] |
H. Shen, J. H. Park, L. Zhang and Z. G. Wu,
Robust extended dissipative control for sampled-data Markov jump systems, Int J Control, 87 (2014), 1549-1564.
doi: 10.1080/00207179.2013.878478. |
[17] |
P. Shi, F. Li, L. Wu and C. C. Lim,
$h_{\infty}$ Neural network-based passive filtering for delayed neutral-type semi-Markovian jump systems, IEEE Trans Neural Netw Learn Syst, 28 (2017), 2101-2114.
|
[18] |
X. Song, Z. Wang and H. Shen, et al, A unified method to energy-to-peak filter design
for networked Markov switched singular systems over a finite-time interval, Journal of the
Franklin Institute, 354 (2017), 7899–7916.
doi: 10.1016/j.jfranklin.2017.09.018. |
[19] |
X. Song, M. Wang and S. Song, et al, Reliable state estimation for Markovian jump reactiondiffusion neural networks with sensor saturation and asynchronous failure, IEEE Access, 6
(2018), 50066–50076.
doi: 10.1109/ACCESS.2018.2868060. |
[20] |
X. Song, S. Song and Bo Li,
Adaptive projective synchronization for time-delayed fractional-order neural networks with uncertain parameters and its application in secure communications, Transactions of the Institute of Measurement and Control, 40 (2018), 3078-3087.
doi: 10.1177/0142331217714523. |
[21] |
S. Song and X. Song,
Multi-switching adaptive synchronization of two fractional-order chaotic systems with different structure and different order, International Journal of Control, Automation and Systems, 15 (2017), 1524-1535.
doi: 10.1007/s12555-016-0097-4. |
[22] |
W. Sun, J. Xia, G. Zhuang, X. Huang and H. Shen,
Adaptive fuzzy asymptotically tracking control of full state constrained nonlinear system based on a novel Nussbaum-type function, Journal of the Franklin Institute, 356 (2019), 1810-1827.
doi: 10.1016/j.jfranklin.2018.11.023. |
[23] |
W. Sun, S. Su, Y. Wu, J. Xia and V. Nguyen, Adaptive fuzzy control with high-order barrier Lyapunov functions for high-order uncertain nonlinear systems with full-state constraints, IEEE Transactions on Cybernetics, 2019, 1–9.
doi: 10.1109/TCYB.2018.2890256. |
[24] |
W. Sun, S. Su, J. Xia and V. Nguyen,
Adaptive fuzzy tracking control of flexible-joint robots with full-state constraints, IEEE Transactions on Systems, Man, and Cybernetics: Systems, 49 (2019), 2201-2209.
doi: 10.1109/TSMC.2018.2870642. |
[25] |
W. Sun, S. Su, G. Dong and W. Bai, Reduced adaptive fuzzy tracking control for high-order stochastic nonstrict feedback nonlinear system with full-state constraints, IEEE Transactions on Systems, Man, and Cybernetics: Systems, 2019, 1–11.
doi: 10.1109/TSMC.2019.2898204. |
[26] |
W. Sun, S. Su, J. Xia and Y. Wu, Adaptive tracking control of wheeled inverted pendulums with periodic disturbances, IEEE Transactions on Cybernetics, 50 (2020), 1867–1876.
doi: 10.1109/TCYB.2018.2884707. |
[27] |
H. Shen, Z. Wang, X. Huang and J. Wang,
Fuzzy dissipative control for nonlinear Markovian jump systems via retarded feedback, J. Frankl.Inst, 351 (2014), 3797-3817.
doi: 10.1016/j.jfranklin.2013.02.031. |
[28] |
H. Shen, Y. Z. Men, Z. G. Wu and J. H. Park, Nonfragile $\mathcal{H}_{\infty}$ control for fuzzy Markovian jump systems under fast sampling singular perturbation, IEEE Transactions on Fuzzy Systems, 48 (2018), 2058-2069. Google Scholar |
[29] |
H. Shen, F. Li, H. Yan, H. Karimi and H. Lam, Finite-time event-triggered $\mathcal{H}_{\infty}$ control for T-S fuzzy Markov jump systems, IEEE Transactions on Fuzzy Systems, 26 (2018), 3122-3135. Google Scholar |
[30] |
J. Wang, H. Wu, L. Guo and Y. Luo,
Robust $H_{\infty}$ fuzzy control for uncertain nonlinear Markovian jump systems with time-varying delay, Fuzzy Sets and Systems, 212 (2013), 41-61.
doi: 10.1016/j.fss.2012.07.010. |
[31] |
Z. G. Wu, P. Shi, H. Su and J. Chu,
Asynchronous $l_{2}-l_{\infty}$ filtering for discrete-time stochastic Markov jump systems with randomly occurred sensor nonlinearities, Automatica, 50 (2014), 180-186.
doi: 10.1016/j.automatica.2013.09.041. |
[32] |
Z. Wu, P. Shi, H. Su and R. Lu,
Dissipativity-based sampled-data fuzzy control design and its application to truck-trailer system, IEEE Transactions on Fuzzy Systems, 23 (2015), 1669-1679.
doi: 10.1109/TFUZZ.2014.2374192. |
[33] |
J. Xia, G. Chen and W. Sun,
Extended dissipative analysis of generalized Markovian switching neural networks with two delay components, Neurocomputing, 260 (2017), 275-283.
doi: 10.1016/j.neucom.2017.05.005. |
[34] |
J. Xia, J. Zhang, J. Feng, Z. Wang and G. Zhuang, Command filter-based adaptive fuzzy control for nonlinear systems with unknown control directions, IEEE Transactions on Systems, Man and Cybernetics: Systems, In Press. Google Scholar |
[35] |
J. Xia, J. Zhang, W. Sun, B. Y. Zhang and Z. Wang,
Finite-time adaptive fuzzy control for nonlinear systems with full state constraints, IEEE Transactions on Systems, Man and Cybernetics: Systems, 49 (2019), 1541-1548.
doi: 10.1109/TSMC.2018.2854770. |
[36] |
S. Y. Xu, J. Lam and X. R. Mao,
Delay-dependent $H_{\infty}$ control and filtering for uncertain markovian jump systems with time-varying delays, IEEE Transactions on Circuits and Systems, 54 (2007), 2070-2077.
doi: 10.1109/TCSI.2007.904640. |
[37] |
D. Yang, X. Li and J. Qiu,
Output tracking control of delayed switched systems via state-dependent switching and dynamic output feedback, Nonlinear Analysis: Hybrid Systems, 32 (2019), 294-305.
doi: 10.1016/j.nahs.2019.01.006. |
[38] |
X. Yang, X. Li, Q. Xi and P. Duan,
Review of stability and stabilization for impulsive delayed systems, Mathematical Biosciences and Engineering, 15 (2018), 1495-1515.
doi: 10.3934/mbe.2018069. |
[39] |
H. Zeng, K. Teo, Y. He, H. Xu and W. Wang,
Sampled-data synchronization control for chaotic neural networks subject to actuator saturation, Neurocomputing, 260 (2017), 25-31.
doi: 10.1016/j.neucom.2017.02.063. |
[40] |
H. Zeng, Y. He, M. Wu and J. She,
Free-matrix-based integral inequality for stability analysis of systems with time-varying delay, IEEE Trans. Automat. Contr, 60 (2015), 2768-2772.
doi: 10.1109/TAC.2015.2404271. |
[41] |
H. Zeng, K. Teo and Y. He,
A new looped-functional for stability analysis of sampled-data systems, Automatica, 82 (2017), 328-331.
doi: 10.1016/j.automatica.2017.04.051. |
[42] |
H. Zeng, K. Teo, Y. He and W. Wang,
Sampled-data-based dissipative control of T-S fuzzy systems, Applied Mathematical Modelling, 65 (2019), 415-427.
doi: 10.1016/j.apm.2018.08.012. |
[43] |
G. Zhuang, J. Xia, W. Sun, Q. Ma, Z. Wang and Y. Wang,
Normalization and stabilization of neutral descriptor hybrid systems based on P-D feedback control, Journal of the Franklin Institute, 357 (2020), 1070-1089.
doi: 10.1016/j.jfranklin.2019.10.020. |
[44] |
B. Zhang, W. X. Zheng and S. Xu,
$h_{\infty}$ Filtering of Markovian jump delay systems based on a new performance index, IEEE Trans Circuits Syst I Reg Pap, 60 (2013), 1250-1263.
doi: 10.1109/TCSI.2013.2246213. |
[45] |
J. Zhang, J. Xia, W. Sun, G. Zhuang and Z. Wang,
Finite-time tracking control for stochastic nonlinear systems with full state constraints, Applied Mathematics and Computation, 338 (2018), 207-220.
doi: 10.1016/j.amc.2018.05.040. |
[46] |
J. Zhang, X. Liang and J. Xia, Adaptive tracking control for stochastic nonlinear systems with full state constraints, Journal of Liaocheng University (Natural Science Edition), 32 (2019), 8-13. Google Scholar |
[47] |
G. Zhuang, S. Xu, J. Xia, Q. Ma and Z. Zhang,
Non-fragile delay feedback control for neutral stochastic Markovian jump systems with time-varying delays, Applied Mathematics and Computation, 355 (2019), 21-32.
doi: 10.1016/j.amc.2019.02.057. |
[48] |
G. Zhuang, Q. Ma, B. Zhang, S. Xu and J. Xia,
Admissibility and stabilization of stochastic singular Markovian jump systems with time delays, Systems and Control Letters, 114 (2018), 1-10.
doi: 10.1016/j.sysconle.2018.02.004. |
[49] |
G. Zhuang, S. Xu, B. Zhang, H. Xu and Y. Chu,
Robust $H_{\infty}$ deconvolution filtering for uncertain singular Markovian jump systems with time-varying delays, International Journal of Robust and Nonlinear Control, 26 (2016), 2564-2585.
doi: 10.1002/rnc.3461. |
[50] |
G. Zhuang, S. Xu, J. Xia, Q. Ma and Z. Zhang,
Non-fragile delay feedback control for neutra stochastic Markovian jump systems with time-varying delays, Applied Mathematics and Computation, 355 (2019), 21-32.
doi: 10.1016/j.amc.2019.02.057. |
[51] |
G. Zhuang, J. Xia, J. Feng, W. Sun and B. Zhang,
Admissibilization for implicit jump systems with mixed retarded delays based on reciprocally convex integral inequality and Barbalat's lemma, IEEE Trans. Syst., Man, Cybern., 16 (2020), 1-11.
doi: 10.1109/TSMC.2020.2964057. |
0.05 | 0.15 | 0.25 | 0.35 | ||
1.7678 | 1.8246 | 1.9285 |
0.05 | 0.15 | 0.25 | 0.35 | ||
1.7678 | 1.8246 | 1.9285 |
0.05 | 0.15 | 0.25 | 0.35 | ||
1.7576 | 1.7982 | 1.8659 |
0.05 | 0.15 | 0.25 | 0.35 | ||
1.7576 | 1.7982 | 1.8659 |
[1] |
Hui Lv, Xing'an Wang. Dissipative control for uncertain singular markovian jump systems via hybrid impulsive control. Numerical Algebra, Control & Optimization, 2021, 11 (1) : 127-142. doi: 10.3934/naco.2020020 |
[2] |
Reza Chaharpashlou, Abdon Atangana, Reza Saadati. On the fuzzy stability results for fractional stochastic Volterra integral equation. Discrete & Continuous Dynamical Systems - S, 2020 doi: 10.3934/dcdss.2020432 |
[3] |
Ali Mahmoodirad, Harish Garg, Sadegh Niroomand. Solving fuzzy linear fractional set covering problem by a goal programming based solution approach. Journal of Industrial & Management Optimization, 2020 doi: 10.3934/jimo.2020162 |
[4] |
Awais Younus, Zoubia Dastgeer, Nudrat Ishaq, Abdul Ghaffar, Kottakkaran Sooppy Nisar, Devendra Kumar. On the observability of conformable linear time-invariant control systems. Discrete & Continuous Dynamical Systems - S, 2020 doi: 10.3934/dcdss.2020444 |
[5] |
Duy Phan, Lassi Paunonen. Finite-dimensional controllers for robust regulation of boundary control systems. Mathematical Control & Related Fields, 2021, 11 (1) : 95-117. doi: 10.3934/mcrf.2020029 |
[6] |
Arthur Fleig, Lars Grüne. Strict dissipativity analysis for classes of optimal control problems involving probability density functions. Mathematical Control & Related Fields, 2020 doi: 10.3934/mcrf.2020053 |
[7] |
Hong Niu, Zhijiang Feng, Qijin Xiao, Yajun Zhang. A PID control method based on optimal control strategy. Numerical Algebra, Control & Optimization, 2021, 11 (1) : 117-126. doi: 10.3934/naco.2020019 |
[8] |
Xuefeng Zhang, Yingbo Zhang. Fault-tolerant control against actuator failures for uncertain singular fractional order systems. Numerical Algebra, Control & Optimization, 2021, 11 (1) : 1-12. doi: 10.3934/naco.2020011 |
[9] |
Pierluigi Colli, Gianni Gilardi, Jürgen Sprekels. Deep quench approximation and optimal control of general Cahn–Hilliard systems with fractional operators and double obstacle potentials. Discrete & Continuous Dynamical Systems - S, 2021, 14 (1) : 243-271. doi: 10.3934/dcdss.2020213 |
[10] |
Simone Fiori. Error-based control systems on Riemannian state manifolds: Properties of the principal pushforward map associated to parallel transport. Mathematical Control & Related Fields, 2021, 11 (1) : 143-167. doi: 10.3934/mcrf.2020031 |
[11] |
Biao Zeng. Existence results for fractional impulsive delay feedback control systems with Caputo fractional derivatives. Evolution Equations & Control Theory, 2021 doi: 10.3934/eect.2021001 |
[12] |
Wei Ouyang, Li Li. Hölder strong metric subregularity and its applications to convergence analysis of inexact Newton methods. Journal of Industrial & Management Optimization, 2021, 17 (1) : 169-184. doi: 10.3934/jimo.2019105 |
[13] |
Jian-Xin Guo, Xing-Long Qu. Robust control in green production management. Journal of Industrial & Management Optimization, 2020 doi: 10.3934/jimo.2021011 |
[14] |
Sujit Kumar Samanta, Rakesh Nandi. Analysis of $GI^{[X]}/D$-$MSP/1/\infty$ queue using $RG$-factorization. Journal of Industrial & Management Optimization, 2021, 17 (2) : 549-573. doi: 10.3934/jimo.2019123 |
[15] |
Xin Guo, Lei Shi. Preface of the special issue on analysis in data science: Methods and applications. Mathematical Foundations of Computing, 2020, 3 (4) : i-ii. doi: 10.3934/mfc.2020026 |
[16] |
Xu Zhang, Chuang Zheng, Enrique Zuazua. Time discrete wave equations: Boundary observability and control. Discrete & Continuous Dynamical Systems - A, 2009, 23 (1&2) : 571-604. doi: 10.3934/dcds.2009.23.571 |
[17] |
Lars Grüne, Matthias A. Müller, Christopher M. Kellett, Steven R. Weller. Strict dissipativity for discrete time discounted optimal control problems. Mathematical Control & Related Fields, 2020 doi: 10.3934/mcrf.2020046 |
[18] |
Hai Huang, Xianlong Fu. Optimal control problems for a neutral integro-differential system with infinite delay. Evolution Equations & Control Theory, 2020 doi: 10.3934/eect.2020107 |
[19] |
Linhao Xu, Marya Claire Zdechlik, Melissa C. Smith, Min B. Rayamajhi, Don L. DeAngelis, Bo Zhang. Simulation of post-hurricane impact on invasive species with biological control management. Discrete & Continuous Dynamical Systems - A, 2020, 40 (6) : 4059-4071. doi: 10.3934/dcds.2020038 |
[20] |
Yuan Tan, Qingyuan Cao, Lan Li, Tianshi Hu, Min Su. A chance-constrained stochastic model predictive control problem with disturbance feedback. Journal of Industrial & Management Optimization, 2021, 17 (1) : 67-79. doi: 10.3934/jimo.2019099 |
2019 Impact Factor: 1.233
Tools
Article outline
Figures and Tables
[Back to Top]