Robust decentralized adaptive control for a class of uncertain neural networks with time-varying delays

Applied Mathematics and Computation

Volumn 215, Issue 12, 2010, Pages 4154-4163

  Wang, Zengyun ^a   Huang, Lihong ^a   Wang, Yaonan ^a  

^a HUNAN UNIVERSITY   (China)

Author keywords

Decentralized adaptive sliding mode controller; Generalized Lipschiz condition; Neural network

Indexed keywords

ACTIVATION FUNCTIONS; ASYMPTOTICALLY STABILITY; DECENTRALIZED ADAPTIVE CONTROL; DECENTRALIZED ADAPTIVE SLIDING MODE CONTROLLER; DECENTRALIZED ADAPTIVE SLIDING MODE CONTROLLERS; DISCONTINUOUS FUNCTIONS; NONLINEAR INPUTS; NUMERICAL EXAMPLE; PARAMETER UNCERTAINTY; ROBUST CONTROL PROBLEMS; SLIDING MANIFOLDS; TIME-VARYING DELAY; TIME-VARYING DELAYED; UNCERTAIN NEURAL NETWORKS;

CONTROLLERS; DELAY CONTROL SYSTEMS; ELECTRIC CONVERTERS; NEURAL NETWORKS; ROBUST CONTROL; SLIDING MODE CONTROL; TIME VARYING NETWORKS; TIME VARYING SYSTEMS;

ADAPTIVE CONTROL SYSTEMS;

EID: 76849100332     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2009.12.018     Document Type: Article

References (22)

1. Cohen M.A., and Grossberg S. Absolute stability of global pattern formation and parallel memory storage by competitive neural networks. IEEE Trans. Syst. Man Cybernet. SMC 13 (1983) 815-826
2. Ye H., Michel A.N., and Wang K. Qualitative analysis of Cohen-Grossberg neural networks with multiple delays. Phys. Rev. E 51 (1995) 2611-2618
3. Hopfield J.J. Neural networks and physical systems with emergent collective computational abilities. Proc. Natl. Acad. Sci. USA (1982) 2554-2558
4. Chua L.O., and Yang L. Cellular neural networks: theory. IEEE Trans. Circuit Syst. I 35 (1988) 1257-1272
5. Cao J. Global stability conditions for delay CNNs. IEEE Trans. Circuit Syst. 48 (2001) 1330-1333
6. Huang C.C., Cheng C.J., and Liao T.L. Globally exponential stability of generalized Cohen-Grossberg neural networks with delays. Phys. Lett. A 319 (2003) 157-166
7. Liao T.L., Yan J.J., Cheng C.J., and Hwang C.C. Globally exponential stability condition of a class of neural networks with time-varying delays. Phys. Lett. A 339 (2005) 333-342
8. Park J.H., Jung H.Y., Park J.I., and Lee S.G. Decentralized dynamic output feedback controller design for guaranteed cost stabilization of large-scale discrete-delay systems. Appl. Math. Comput. 156 (2004) 307-320
9. Shen J., Chen B., and Kung F. Memoryless stabilition of uncertain dynamic delay systems: Riccati equation approach. IEEE Trans. Automat. Contr. 36 (1991) 638-640
10. Stipanovic D.M., and Siljak D.D. Robust stability and stabilization of discrete-time nonlinear systems: The LMI approach. Int. J. Control 74 (2001) 873-879
11. Park J.H. Robust non-fragile decentralized controller design for uncertain large-scale interconnected systems with time-delays. ASME J. Dynam. Syst. Measur. Contr. 124 (2002) 332-336
12. Park J.H. Robust decentralized stabilization of uncertain large-scale discrete-time systems with delays. J. Optim. Theor. Appl. 113 (2002) 105-119
13. Yu W. Robust control of delayed Cohen-Grossberg neural networks. Int. J. Adapt. Contr. Signal Process. 22 (2008) 221-242
14. Wang J.F., Huang L.H., and Guo Z.Y. Dynamical behavior of delayed Hopfield neural networks with discontinuous activations. Appl. Math. Model. 33 (2009) 1793-1802
15. Zhenyuan Guo, Lihong Huang, Global output convergence of a class of recurrent delayed neural networks with discontinuous neuron activations, Neural Process. Lett. doi:10.1007/s11063-009-9119-z.
16. Yu W., Cao J., and Chen G. Robust adaptive control of unknown modified Cohen-Grossberg neural networks with delays. IEEE Trans. Circuit Syst. II 54 (2007) 502-506
17. Cheng Ch.J. Robust control of a class of neural networks with bounded uncertainties and time-varying delays. Comput. Math. Appl. J. 56 (2008) 1245-1254
18. Utkin V.I. Sliding Mode and Their Applications in Variable Structure Systems (1978), Mir Editors, Moscow
19. Edwards C., and Spurgeon S.K. Sliding Mode Control: Theory and Applications (1998), Taylor and Francis, London
20. Yan J., Tsai J., and Kung F. Continuous sliding mode control for systems subject to nonlinear multiple time-varying delay perturbations. JSME Int. J. Serc: Dynam. Contr. Robot. Des. Manufact. 40 (1997) 723-729
21. Chou C.H., and Cheng C.C. A decentralized mode reference adaptive variable structure controller for large-scale time-varying delay systems. IEEE Trans. Automat. Contr. 48 (2003) 797-800
22. Hsu K.C. Decentralized sliding mode control for large-scale time delayed systems with series nonlinearities. ASME J. Dynam. Syst. Measur. Contr. 121 (1999) 708-713