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New passivity analysis of continuous-time recurrent neural networks with multiple discrete delays
1. | Department of Control Science & Engineering, Huazhong University of Science & Technology, and Key Laboratory of Image Processing and Intelligent Control of Education Ministry of China, Wuhan, Hubei 430074, China |
2. | Texas A&M University at Qatar, Doha, P.O. Box 5825, Qatar, United States |
References:
[1] |
S. Commuri and F. L. Lewis, CMAC neural networks for control of nonlinear dynamical systems: structure, stability and passivity, Automatica, 33 (1996), 635-641.
doi: 10.1016/S0005-1098(96)00180-X. |
[2] |
A. Kugi, C. Ott, A. Albu-Schaffer and G. Hirzinger, On the passivity-based impedance control of flexible joint robots, IEEE Transactions on Robotics, 24 (2008), 416-429.
doi: 10.1109/TRO.2008.915438. |
[3] |
J. Li, H. R. Feng and M.C. Wang, A replenishment policy with defective products, backlog and delay of payments, Journal of Industrial and Management Optimization, 5 (2009), 867-880.
doi: 10.3934/jimo.2009.5.867. |
[4] |
C. G. Li and X. F. Liao, Passivity analysis of neural networks with time delay, IEEE Transactions on Circuits and Systems-II: Express Briefs, 52 (2005), 471-475. |
[5] |
L. Lin, D. He and Z. Y. Tan, Bounds on delay start lpt algorithm for scheduling on two identical machines in the l(p) norm, Journal of Industrial and Management Optimization, 4 (2008), 817-826. |
[6] |
X. X. Liao and J. Wang, Global dissipativity of continuous-time recurrent neural networks with time delay, Physical Review E, 68 (2003), 1-7.
doi: 10.1103/PhysRevE.68.016118. |
[7] |
X. Y. Lou and B. T. Cui, Passivity analysis of integro-differential neural networks with time-varying delays, Neurocomputing, 70 (2007), 1071-1078. |
[8] |
R. Lozano, B. Brogliato, O. Egeland and B. Maschke, "Systems Analysis and Control: Theory and Applications, Dissipative," Springer-Verlag, London, U.K., 2000. |
[9] |
M. S. Mahmoud and A. Ismail, Passivity and passification of time-delay systems, Journal of Mathematical Analysis and Applications, 292 (2004), 247-258.
doi: 10.1016/j.jmaa.2003.11.055. |
[10] |
J. H. Park, Further results on passivity analysis of delayed cellular neural networks, Chaos, Solitons and Fractals, 34 (2007), 1546-1551.
doi: 10.1016/j.chaos.2005.04.124. |
[11] |
O. J. Rojas, J. Bao and P. L. Lee, On dissipativity, passivity and dynamic operability of nonlinear processes, Journal of Process Control, 18 (2008), 515-526.
doi: 10.1016/j.jprocont.2007.07.007. |
[12] |
J. J. Rubio and W. Yu, Stability analysis of nonlinear system identification via delayed neural networks, IEEE Transactions on Circuits and Systems-II: Express Briefs, 54 (2007), 161-165.
doi: 10.1109/TCSII.2006.886464. |
[13] |
H. Santoso, J. Bao and P. L. Lee, Dynamic operability analysis for stable and unstable linear processes, Industrial & Engineering Chemistry Research, 47 (2008), 4765-4774.
doi: 10.1021/ie070599c. |
[14] |
S. Wang, Q. Shao and X. Zhou, Knot-optimizing spline networks (KOSNETS) for nonparametric regression, Journal of Industrial and Management Optimization, 4 (2008), 33-52. |
[15] |
L. X. Xu and W. Q. Liu, A new recurrent neural network adaptive approach for host-gate way rate control protocol within intranets using ATM ABR service, Journal of Industrial and Management Optimization, 1 (2005), 389-404. |
[16] |
Y. Yatsenko and N. Hritonenko, Optimization of the lifetime of capital equipment using integral models, Journal of Industrial and Management Optimization, 1 (2005), 415-432. |
[17] |
W. Yu and X. Li, Some stability properties of dynamic neural networks, IEEE Transactions on Circuits and Systems-I: Fundamental Theory and Applications, 48 (2001), 256-259.
doi: 10.1109/81.904893. |
[18] |
W. Yu and X. Li, New results on system identification with dynamic neural networks, IEEE Transactions on Neural Networks, 12 (2001), 412-417.
doi: 10.1109/72.914535. |
[19] |
W. Yu, Passivity analysis for dynamic multilayer neuro identifier, IEEE Transactions on Circuits and Systems-I: Fundamental Theory and Applications, 50 (2003), 173-178. |
show all references
References:
[1] |
S. Commuri and F. L. Lewis, CMAC neural networks for control of nonlinear dynamical systems: structure, stability and passivity, Automatica, 33 (1996), 635-641.
doi: 10.1016/S0005-1098(96)00180-X. |
[2] |
A. Kugi, C. Ott, A. Albu-Schaffer and G. Hirzinger, On the passivity-based impedance control of flexible joint robots, IEEE Transactions on Robotics, 24 (2008), 416-429.
doi: 10.1109/TRO.2008.915438. |
[3] |
J. Li, H. R. Feng and M.C. Wang, A replenishment policy with defective products, backlog and delay of payments, Journal of Industrial and Management Optimization, 5 (2009), 867-880.
doi: 10.3934/jimo.2009.5.867. |
[4] |
C. G. Li and X. F. Liao, Passivity analysis of neural networks with time delay, IEEE Transactions on Circuits and Systems-II: Express Briefs, 52 (2005), 471-475. |
[5] |
L. Lin, D. He and Z. Y. Tan, Bounds on delay start lpt algorithm for scheduling on two identical machines in the l(p) norm, Journal of Industrial and Management Optimization, 4 (2008), 817-826. |
[6] |
X. X. Liao and J. Wang, Global dissipativity of continuous-time recurrent neural networks with time delay, Physical Review E, 68 (2003), 1-7.
doi: 10.1103/PhysRevE.68.016118. |
[7] |
X. Y. Lou and B. T. Cui, Passivity analysis of integro-differential neural networks with time-varying delays, Neurocomputing, 70 (2007), 1071-1078. |
[8] |
R. Lozano, B. Brogliato, O. Egeland and B. Maschke, "Systems Analysis and Control: Theory and Applications, Dissipative," Springer-Verlag, London, U.K., 2000. |
[9] |
M. S. Mahmoud and A. Ismail, Passivity and passification of time-delay systems, Journal of Mathematical Analysis and Applications, 292 (2004), 247-258.
doi: 10.1016/j.jmaa.2003.11.055. |
[10] |
J. H. Park, Further results on passivity analysis of delayed cellular neural networks, Chaos, Solitons and Fractals, 34 (2007), 1546-1551.
doi: 10.1016/j.chaos.2005.04.124. |
[11] |
O. J. Rojas, J. Bao and P. L. Lee, On dissipativity, passivity and dynamic operability of nonlinear processes, Journal of Process Control, 18 (2008), 515-526.
doi: 10.1016/j.jprocont.2007.07.007. |
[12] |
J. J. Rubio and W. Yu, Stability analysis of nonlinear system identification via delayed neural networks, IEEE Transactions on Circuits and Systems-II: Express Briefs, 54 (2007), 161-165.
doi: 10.1109/TCSII.2006.886464. |
[13] |
H. Santoso, J. Bao and P. L. Lee, Dynamic operability analysis for stable and unstable linear processes, Industrial & Engineering Chemistry Research, 47 (2008), 4765-4774.
doi: 10.1021/ie070599c. |
[14] |
S. Wang, Q. Shao and X. Zhou, Knot-optimizing spline networks (KOSNETS) for nonparametric regression, Journal of Industrial and Management Optimization, 4 (2008), 33-52. |
[15] |
L. X. Xu and W. Q. Liu, A new recurrent neural network adaptive approach for host-gate way rate control protocol within intranets using ATM ABR service, Journal of Industrial and Management Optimization, 1 (2005), 389-404. |
[16] |
Y. Yatsenko and N. Hritonenko, Optimization of the lifetime of capital equipment using integral models, Journal of Industrial and Management Optimization, 1 (2005), 415-432. |
[17] |
W. Yu and X. Li, Some stability properties of dynamic neural networks, IEEE Transactions on Circuits and Systems-I: Fundamental Theory and Applications, 48 (2001), 256-259.
doi: 10.1109/81.904893. |
[18] |
W. Yu and X. Li, New results on system identification with dynamic neural networks, IEEE Transactions on Neural Networks, 12 (2001), 412-417.
doi: 10.1109/72.914535. |
[19] |
W. Yu, Passivity analysis for dynamic multilayer neuro identifier, IEEE Transactions on Circuits and Systems-I: Fundamental Theory and Applications, 50 (2003), 173-178. |
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