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$H_\infty$ and robust control of interconnected systems with Markovian jump parameters
1.  College of Engineering, UAE University, P0 Box 17555 AlAin, United Arab Emirates 
2.  School of Technology, University of Glamorgan, Pontypridd, Wales, CF37 1DL, United Kingdom 
3.  School of Information Science, Kyushu Tokai University, 911, Toroku, Kumamoto 8628652, Japan 
[1] 
Jian Chen, Tao Zhang, Ziye Zhang, Chong Lin, Bing Chen. Stability and output feedback control for singular Markovian jump delayed systems. Mathematical Control & Related Fields, 2018, 8 (2) : 475490. doi: 10.3934/mcrf.2018019 
[2] 
Magdi S. Mahmoud. Output feedback overlapping control design of interconnected systems with input saturation. Numerical Algebra, Control & Optimization, 2016, 6 (2) : 127151. doi: 10.3934/naco.2016004 
[3] 
Changzhi Wu, Kok Lay Teo, Volker Rehbock. Optimal control of piecewise affine systems with piecewise affine state feedback. Journal of Industrial & Management Optimization, 2009, 5 (4) : 737747. doi: 10.3934/jimo.2009.5.737 
[4] 
Ta T.H. Trang, Vu N. Phat, Adly Samir. Finitetime stabilization and $H_\infty$ control of nonlinear delay systems via output feedback. Journal of Industrial & Management Optimization, 2016, 12 (1) : 303315. doi: 10.3934/jimo.2016.12.303 
[5] 
Lihua Li, Yan Gao, Hongjie Wang. Second order sufficient optimality conditions for hybrid control problems with state jump. Journal of Industrial & Management Optimization, 2015, 11 (1) : 329343. doi: 10.3934/jimo.2015.11.329 
[6] 
Qiying Hu, Chen Xu, Wuyi Yue. A unified model for state feedback of discrete event systems II: Control synthesis problems. Journal of Industrial & Management Optimization, 2008, 4 (4) : 713726. doi: 10.3934/jimo.2008.4.713 
[7] 
Rohit Gupta, Farhad Jafari, Robert J. Kipka, Boris S. Mordukhovich. Linear openness and feedback stabilization of nonlinear control systems. Discrete & Continuous Dynamical Systems  S, 2018, 11 (6) : 11031119. doi: 10.3934/dcdss.2018063 
[8] 
Guirong Jiang, Qishao Lu. The dynamics of a PreyPredator model with impulsive state feedback control. Discrete & Continuous Dynamical Systems  B, 2006, 6 (6) : 13011320. doi: 10.3934/dcdsb.2006.6.1301 
[9] 
Haiying Jing, Zhaoyu Yang. The impact of state feedback control on a predatorprey model with functional response. Discrete & Continuous Dynamical Systems  B, 2004, 4 (3) : 607614. doi: 10.3934/dcdsb.2004.4.607 
[10] 
Meng Zhang, Kaiyuan Liu, Lansun Chen, Zeyu Li. State feedback impulsive control of computer worm and virus with saturated incidence. Mathematical Biosciences & Engineering, 2018, 15 (6) : 14651478. doi: 10.3934/mbe.2018067 
[11] 
Yanqing Liu, Yanyan Yin, Kok Lay Teo, Song Wang, Fei Liu. Probabilistic control of Markov jump systems by scenario optimization approach. Journal of Industrial & Management Optimization, 2019, 15 (3) : 14471453. doi: 10.3934/jimo.2018103 
[12] 
Mikhail Gusev. On reachability analysis for nonlinear control systems with state constraints. Conference Publications, 2015, 2015 (special) : 579587. doi: 10.3934/proc.2015.0579 
[13] 
Olivia Prosper, Omar Saucedo, Doria Thompson, Griselle TorresGarcia, Xiaohong Wang, Carlos CastilloChavez. Modeling control strategies for concurrent epidemics of seasonal and pandemic H1N1 influenza. Mathematical Biosciences & Engineering, 2011, 8 (1) : 141170. doi: 10.3934/mbe.2011.8.141 
[14] 
V. Rehbock, K.L. Teo, L.S. Jennings. Suboptimal feedback control for a class of nonlinear systems using spline interpolation. Discrete & Continuous Dynamical Systems  A, 1995, 1 (2) : 223236. doi: 10.3934/dcds.1995.1.223 
[15] 
Carsten Collon, Joachim Rudolph, Frank Woittennek. Invariant feedback design for control systems with lie symmetries  A kinematic car example. Conference Publications, 2011, 2011 (Special) : 312321. doi: 10.3934/proc.2011.2011.312 
[16] 
CătălinGeorge Lefter, ElenaAlexandra Melnig. Feedback stabilization with one simultaneous control for systems of parabolic equations. Mathematical Control & Related Fields, 2018, 8 (3&4) : 777787. doi: 10.3934/mcrf.2018034 
[17] 
Stephan Gerster, Michael Herty. Discretized feedback control for systems of linearized hyperbolic balance laws. Mathematical Control & Related Fields, 2019, 9 (3) : 517539. doi: 10.3934/mcrf.2019024 
[18] 
Stepan Sorokin, Maxim Staritsyn. Feedback necessary optimality conditions for a class of terminally constrained statelinear variational problems inspired by impulsive control. Numerical Algebra, Control & Optimization, 2017, 7 (2) : 201210. doi: 10.3934/naco.2017014 
[19] 
Qizhen Xiao, Binxiang Dai. Heteroclinic bifurcation for a general predatorprey model with Allee effect and state feedback impulsive control strategy. Mathematical Biosciences & Engineering, 2015, 12 (5) : 10651081. doi: 10.3934/mbe.2015.12.1065 
[20] 
John E. Lagnese. Controllability of systems of interconnected membranes. Discrete & Continuous Dynamical Systems  A, 1995, 1 (1) : 1733. doi: 10.3934/dcds.1995.1.17 
2018 Impact Factor: 1.008
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