Passivity analysis for discrete-time switched neural networks with various activation functions and mixed time delays

Nonlinear Dynamics

Volumn 67, Issue 1, 2012, Pages 403-411

  Zhang, Dan ^a   Yu, Li ^a  

^a ZHEJIANG UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

Average dwell time; Delay dependent; Mixed time delays; Passivity; Switched neural networks

Indexed keywords

ACTIVATION FUNCTIONS; AVERAGE DWELL TIME; AVERAGE DWELL-TIME APPROACH; DELAY-DEPENDENT; DISCRETE DELAY; DISCRETE-TIME; DISTRIBUTED DELAYS; NUMERICAL EXAMPLE; PASSIVITY; PIECEWISE LYAPUNOV FUNCTIONS; SUFFICIENT CONDITIONS; TIME VARYING;

ACTIVATION ANALYSIS; LINEAR MATRIX INEQUALITIES; LYAPUNOV FUNCTIONS; SWITCHING CIRCUITS; TIME DELAY;

NEURAL NETWORKS;

EID: 82255163992     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-011-9988-3     Document Type: Article

References (28)

1. Cichoki, A., Unbehauen, R.: Neural Networks for Optimization and Signal Processing. Wiley, Chichester (1993)
2. Haykin, S.: Neural Networks: A Comprehensive Foundation. Prentice Hall, New York (1998)
3. Z. Wang Y. Liu X. Liu 2005 On global asymptotic stability of neural networks with discrete and distributed delays Phys. Lett. A 345 4-6 299 308 05314210 10.1016/j.physleta.2005.07.025 (Pubitemid 41262382)
4. Y. He G. Liu D. Rees M. Wu 2007 Stability analysis for neural networks with time-varying interval delay IEEE Trans. Neural Netw. 18 1850 1854 10.1109/TNN.2006.888373 (Pubitemid 46062938)
5. H. Li B. Chen Q. Zhou S. Fang 2008 Robust exponential stability for uncertain stochastic neural networks with discrete and distributed time-varying delays Phys. Lett. A 372 19 3385 3394 2414706 1220.82085 10.1016/j.physleta. 2008.01.060
6. Z. Wu H. Su J. Chu W. Zhou 2009 New results on robust exponential stability for discrete recurrent neural networks with time-varying delays Neurocomputing 72 3337 3342 10.1016/j.neucom.2009.01.010
7. H. Li B. Chen Q. Zhou W. Qian 2009 Robust stability for uncertain delayed fuzzy Hopfield neural networks with Markovian jumping parameters IEEE Trans. Syst. Man Cybern., Part B, Cybern. 39 1 94 102 10.1109/TSMCB.2008.2002812
8. Z. Wu H. Su J. Chu W. Zhou 2010 Improved delay-dependent stability condition of discrete recurrent neural networks with time-varying delays IEEE Trans. Neural Netw. 21 4 692 697 10.1109/TNN.2010.2042172
9. Z. Zeng T. Huang W. Zheng 2010 Multistability of recurrent neural networks with time-varying delays and the piecewise linear activation function IEEE Trans. Neural Netw. 21 8 1371 1378 10.1109/TNN.2010.2054106
10. J. Zhao D.J. Hill T. Liu 2009 Synchronization of complex dynamical networks with switching topology: a switched system point of view Automatica 45 11 2502 2511 1183.93032 10.1016/j.automatica.2009.07.013
11. K. Yuan J. Cao H. Li 2006 Robust stability of switched Cohen-Grossberg neural networks with mixed time-varying delays IEEE Trans. Syst. Man Cybern., Part B, Cybern. 36 6 1356 1363 10.1109/TSMCB.2006.876819 (Pubitemid 46405766)
12. P. Li J. Cao 2007 Global stability in switched recurrent neural networks with time-varying delay via nonlinear measure Nonlinear Dyn. 49 1-2 295 305 2325301 1176.92003 10.1007/s11071-006-9134-9 (Pubitemid 46739716)
13. ∞ approach to stability analysis of switched Hopfield neural networks with time-delay Nonlinear Dyn. 60 4 703 711 1194.92005 10.1007/s11071-009-9625-6
14. Liberzon, D.: Switching in Systems and Control. Birkhauser, Basel (2003)
15. J. Qiu G. Feng J. Yang 2008 New results on robust energy-to-peak filtering for discrete-time switched polytopic linear systems with time-varying delay IET Control Theory Appl. 2 9 795 806 2445461 10.1049/iet-cta:20070361
16. L. Wu Z. Feng W. Zheng 2010 Exponential stability analysis for delayed neural networks with switching parameters: Average dwell time approach IEEE Trans. Neural Netw. 21 9 1396 1407 10.1109/TNN.2010.2056383
17. J. Lian K. Zhang 2011 Exponential stability for switched Cohen-Grossberg neural networks with average dwell time Nonlinear Dyn. 63 3 331 343 2769517 10.1007/s11071-010-9807-2
18. W. Yu 2003 Passivity analysis for dynamic multilayer neuro identifier IEEE Trans. Circuits Syst. I, Fundam. Theory Appl. 50 1 173 178 10.1109/TCSI.2002.807519
19. J.H. Park 2007 Further results on passivity analysis of delayed cellular neural networks Chaos Solitons Fractals 34 5 1546 1551 2335402 1152.34380 10.1016/j.chaos.2005.04.124 (Pubitemid 46907556)
20. Q. Song J. Liang Z. Wang 2009 Passivity analysis of discrete-time stochastic neural networks with time-varying delays Neurocomputing 72 7-9 1782 1788 10.1016/j.neucom.2008.05.006
21. C. Lu C. Liao H. Tsai 2009 Delay-range-dependent global robust passivity analysis of discrete-time uncertain recurrent neural networks with interval time-varying delay Discrete Dyn. Nat. Soc. 2009 14 2556335 Article ID 430158
22. Y. Chen H. Wang A. Xue R. Lu 2010 Passivity analysis of stochastic time-delay neural networks Nonlinear Dyn. 61 1-2 71 82 2661785 1204.93126 10.1007/s11071-009-9632-7
23. H. Li C. Wang P. Shi H. Gao 2010 New passivity results for uncertain discrete-time stochastic neural networks with mixed time delays Neurocomputing 73 16-18 3291 3299 10.1016/j.neucom.2010.04.019
24. Y. Liu Z. Wang X. Liu 2009 Asymptotic stability for neural networks with mixed time delays: the discrete-time case Neural Netw. 22 67 74 10.1016/j.neunet.2008.10.001
25. Y. Liu Z. Wang J. Liang X. Liu 2008 Synchronization and state estimation for discrete-time complex networks with distributed delays IEEE Trans. Syst. Man Cybern., Part B, Cybern. 38 5 1314 1325 1731879 10.1109/TSMCB.2008.925745
26. Y. Liu Z. Wang J. Liang X. Liu 2009 Stability and synchronization of discrete-time Markovian jumping neural networks with mixed mode-dependent time delays IEEE Trans. Neural Netw. 20 7 1102 1116 10.1109/TNN.2009.2016210
27. Jiang, X., Han, Q., Yu, X.: Stability criteria for linear discrete-time systems with interval-like time-varying delay. In: Proceeding of the American Control Conference, Portland, OR, USA, June 8-10, 2005
28. ∞ filtering for discrete-time systems with time-varying delay Signal Process. 89 275 282 1151.94369 10.1016/j.sigpro.2008.08.008