Stability analysis for switched Hopfield neural networks with time delay

Optimal Control Applications and Methods

Volumn 33, Issue 4, 2012, Pages 433-444

  Lian, Jie ^a   Zhang, Kai ^a   Feng, Zhi ^a  

^a DALIAN UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

hysteretic switching rule; switched Hopfield neural networks; time varying delay

Indexed keywords

MULTIPLE-LYAPUNOV FUNCTION METHOD; STABILITY ANALYSIS; SUFFICIENT CONDITIONS; SWITCHING RULE; SWITCHING SIGNALS; TIME-VARYING DELAY;

ASYMPTOTIC STABILITY; HOPFIELD NEURAL NETWORKS; HYSTERESIS; LINEAR MATRIX INEQUALITIES; LYAPUNOV FUNCTIONS; TIME VARYING CONTROL SYSTEMS;

SWITCHING;

EID: 84864460079     PISSN: 01432087     EISSN: 10991514     Source Type: Journal    
DOI: 10.1002/oca.1005     Document Type: Article

References (22)

1. Branicky MS,. Multiple Lyapunov functions and other analysis tools for switched and hybrid systems. IEEE Transactions on Automatic Control 1998; 43 (4): 475-482. (Pubitemid 128737371)
2. Zhao J, Hill DJ,. On stability, L2-gain and H∞ control for switched systems. Automatica 2008; 44 (5): 1220-1232.
3. Zhang Y, Liu X, Zhu H, Zhong S,. Stability analysis and control synthesis for a class of switched neutral systems. Applied Mathematics and Computation 2007; 190 (2): 1258-1266. (Pubitemid 46935868)
4. Fainshil L, Margaliot M, Chigansky P,. On the stability of positive linear switched systems under arbitrary switching laws. IEEE Transactions on Automatic Control 2009; 54 (4): 897-899.
5. Wu L, Lam J,. Sliding mode control of switched hybrid systems with time-varying delay. International Journal of Adaptive Control and Signal Processing 2008; 22 (10): 909-931.
6. Wang D, Wang W, Shi P,. Robust fault detection for discrete-time switched linear systems with state delays. IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics 2009; 39 (3): 800-805.
7. Li X, Souza CED,. Delay-dependent robust H∞ control of uncertain linear state-delayed systems. Automatica 1999; 35 (7): 1313-1321.
8. Sun X, Wang W, Liu G, Zhao J,. Stability analysis for linear switched systems with time-varying delay. IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics 2008; 38 (2): 528-533. (Pubitemid 351479570)
9. Ji Z, Cao X, Wang L, Xie G,. Robust H∞ control and stabilization of uncertain switched linear systems: a multiple Lyapunov functions approach. Journal of Dynamic Systems, Measurement, and Control 2006; 128 (3): 696-700. (Pubitemid 44578576)
10. Kim S, Campbell SA, Liu XZ,. Stability of a class of linear switching systems with time delay. IEEE Transactions on Circuits and Systems I: Regular Papers 2006; 53 (2): 384-393. (Pubitemid 46395414)
11. Nguyen MQ, Atkinson PM, Lewis HG,. Superresolution mapping using a Hopfield neural network with fused images. IEEE Transactions on Geoscience and Remote Sensing 2006; 44 (3): 736-749. (Pubitemid 43282748)
12. Nasrabadi NM, Li W,. Object recognition by a Hopfield neural network. IEEE Transactions on Systems, Man, and Cybernetics 1991; 21 (6): 1523-1535.
13. Yang D, Liao X, Chen Y, Guo S, Wang H,. New delay-dependent global asymptotic stability criteria of delayed Hopfield neural networks. Nonlinear Analysis: Real World Applications 2008; 9 (5): 1894-1904.
14. Xu S, Lam J, Ho DWC,. A new LMI condition for delay-dependent asymptotic stability of delayed Hopfield neural networks. IEEE Transactions on Circuits and Systems II: Express Briefs 2006; 53 (3): 230-234.
15. Mou S, Gao H, Lam J, Qiang W,. A new criterion of delay-dependent asymptotic stability for Hopfield neural networks with time delay. IEEE Transactions on Neural Networks 2008; 19 (3): 532-535. (Pubitemid 351411577)
16. Xu J, Pi D, Cao Y, Zhong S,. On stability of neural networks by a Lyapunov functional-based approach. IEEE Transactions on Circuits and Systems I: Regular Papers 2007; 54 (4): 912-924. (Pubitemid 46621580)
17. Cao J, Wang J,. Global exponential stability and periodicity of recurrent neural networks with time delays. IEEE Transactions on Circuits and Systems I: Regular Papers 2005; 52 (5): 920-931. (Pubitemid 40773619)
18. Lu J, Ho DWC, Wu L,. Exponential stabilization of switched stochastic dynamical networks. Nonlinearity 2009; 22 (4): 889-911.
19. Huang H, Qu Y, Li H,. Robust stability analysis of switched Hopfield neural networks with time-varying delay under uncertainty. Physics Letters A 2005; 345 (4-6): 345-354. (Pubitemid 41262386)
20. Yuan K, Cao J, Li H,. Robust stability of switched Cohen-Grossberg neural networks with mixed time-varying delays. IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics 2006; 36 (6): 1356-1363. (Pubitemid 46405766)
21. Li P, Cao J,. Global stability in switched recurrent neural networks with time-varying delay via nonlinear measure. Nonlinear Dynamics 2007; 49 (1-2): 295-305. (Pubitemid 46739716)
22. Lou X, Cui B,. Delay-dependent criteria for global robust periodicity of uncertain switched recurrent neural networks with time-varying delay. IEEE Transactions on Neural Networks 2008; 19 (4): 549-557. (Pubitemid 351583573)