On passivity analysis for stochastic neural networks with interval time-varying delay

Neurocomputing

Volumn 73, Issue 4-6, 2010, Pages 795-801

  Fu, Jie ^a,b   Zhang, Huaguang ^a   Ma, Tiedong ^a,b   Zhang, Qingling ^c  

^a NORTHEASTERN UNIVERSITY   (China)

^b CHONGQING UNIVERSITY   (China)

^c NORTHEASTERN UNIVERSITY   (China)

Author keywords

Interval time varying delay; Linear matrix inequality (LMI); Passivity; Stochastic neural networks (SNNs)

Indexed keywords

APPROXIMATION METHODS; BOUNDED PARAMETERS; DELAY-DEPENDENT; INTERVAL TIME-VARYING DELAYS; LYAPUNOV-KRASOVSKII FUNCTIONALS; NUMERICAL EXAMPLE; STOCHASTIC NEURAL NETWORK; UPPER BOUND;

APPROXIMATION THEORY; LINEAR MATRIX INEQUALITIES; LYAPUNOV FUNCTIONS; NONLINEAR CONTROL SYSTEMS; PASSIVATION; STOCHASTIC SYSTEMS; THREE TERM CONTROL SYSTEMS; TIME VARYING CONTROL SYSTEMS; TIME VARYING NETWORKS; UNCERTAIN SYSTEMS;

NEURAL NETWORKS;

ALGORITHM; ARTICLE; ARTIFICIAL NEURAL NETWORK; CRITERION VARIABLE; INTERVAL TIME VARYING DELAY; LINEAR MATRIX INEQUALITY; LINEAR SYSTEM; LYAPUNOV KRASOVKSII FUNCTIONAL; MATHEMATICAL ANALYSIS; MATHEMATICAL COMPUTING; MATHEMATICAL PARAMETERS; PASSIVITY ANALYSIS; PRIORITY JOURNAL; PROBABILITY; STOCHASTIC NEURAL NETWORK; UNCERTAINTY;

EID: 75749098788     PISSN: 09252312     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.neucom.2009.10.010     Document Type: Article

References (28)

1. Zhang H.G., and Wang Z.S. Global asymptotic stability of delayed cellular neural networks. IEEE Trans. Neural Networks 18 3 (2007) 947-950
2. He Y., Liu G.P., Rees D., and Wu M. Stability analysis for neural networks with time-varying interval delay. IEEE Trans. Neural Networks 18 6 (2007) 1850-1854
3. Zhu X.L., and Yang G.H. New delay-dependent stability results for neural networks with time-varying delay. IEEE Trans. Neural Networks 19 10 (2008) 1783-1791
4. Xiang X.J., and Cao J.D. Exponential stability of periodic solution to Cohen-Grossberg-type BAM networks with time-varying delays. Neurocomputing 72 7-9 (2009) 1702-1711
5. Li C.D., and Feng G. Delay-interval-dependent stability of recurrent neural networks with time-varying delay. Neurocomputing 72 4-6 (2009) 1179-1183
6. Haykin S. Neural Networks: A Comprehensive Foundation (1998), Prentice-Hall, New-Jersey
7. Huang H., and Feng G. Delay-dependent stability for uncertain stochastic neural networks with time-varying delay. Physica A 381 15 (2007) 93-103
8. Zhang J.H., Shi P., and Qiu J.Q. Novel robust stability criteria for uncertain stochastic Hopfield neural networks with time-varying delays. Nonlinear Anal. Real World Appl. 8 4 (2007) 1349-1357
9. Chen W.H., and Lu X.M. Mean square exponential stability of uncertain stochastic delayed neural networks. Phys. Lett. A 372 7 (2008) 1061-1069
10. Zhang H.G., and Wang Y.C. Stability analysis of Markovian jumping stochastic Cohen-Grossberg neural networks with mixed time delays. IEEE Trans. Neural Networks 19 2 (2008) 366-370
11. Willems J.C. Dissipative dynamical systems part I: general theory. Arch. Rational Mech. Anal. 45 5 (1972) 321-393
12. Willems J.C. Dissipative dynamical systems part II: linear systems with quadratic supply rates. Arch. Rational Mech. Anal. 45 5 (1972) 321-393
13. Lozano R., Brogliato B., Egeland O., and Maschke B. Dissipative Systems Analysis and Control: Theory and Applications (2000), Springer, London, UK
14. Niculescu S.I., and Lozano R. On the passivity of linear delay systems. IEEE Trans. Autom. Control 46 3 (2001) 460-464
15. Chua L.O. Passivity and complexity. IEEE Trans. Circuits Syst. I 46 1 (1999) 71-82
16. Wu C.W. Synchronization in arrays of coupled nonlinear systems: passivity, circle criterion, and observer design. IEEE Trans. Circuits Syst. I 48 10 (2001) 1257-1261
17. Xie L.H., Fu M.Y., and Li H.Z. Passivity analysis and passification for uncertain signal processing systems. IEEE Trans. Signal Process. 46 9 (1998) 2394-2403
18. Yu W. Passivity analysis for dynamic multilayer neuro identifier. IEEE Trans. Circuits Syst. I, Fundam. Theory Appl. 50 1 (2003) 173-178
19. Yu W., and Li X. Passivity analysis of dynamic neural networks with different time-scales. Neural Process. Lett. 25 2 (2007) 143-155
20. Li C.G., and Liao X.F. Passivity analysis of neural networks with time delay. IEEE Trans. Circuits Syst. II 52 8 (2005) 471-475
21. Lou X.Y., and Cui B.T. Passivity analysis of integro-differential neural networks with time-varying delays. Neurocomputing 70 4-6 (2007) 1071-1078
22. Park J.H. Further results on passivity analysis of delayed cellular neural networks. Chaos Solitions Fractals 34 5 (2007) 1546-1556
23. Chen B., Li H.Y., lin C., and Zhou Q. Passivity analysis for uncertain neural networks with discrete and distributed time-varying delays. Phys. Lett. A 373 14 (2009) 1242-1248
24. Song Q.K., Liang J.L., and Wang Z.D. Passivity analysis of discrete-time stochastic neural networks with time-varying delays. Neurocomputing 72 7-9 (2009) 1782-1788
25. Shao H.Y. New delay-dependent stability criteria for systems with interval delay. Automatica 45 3 (2009) 744-749
26. K. Gu, An integral inequality in the stability problem of time-delay systems, in: Proceedings of the 39th IEEE Conference on Decision Control, 2000, pp. 2805-2810.
27. Mao X.R. Stochastic Differential Equations and Applications (1997), Horwood, West Sussex, UK
28. Boyd S., El Ghaoul L., Feron E., and Balakrishnan V. Linear Matrix Inequalities in System and Control Theory (1994), SIAM, Philadelphia, PA