Improved Results on Passivity Analysis of Uncertain Neural Networks with Time-Varying Discrete and Distributed Delays

Yonggang Chen1, Wenlin Li2, Weihong Bi2
1Department of Mathematics, Henan Institute of Science and Technology, Xinxiang, China
2College of Mathematics and Information Science, Henan Normal University, Xinxiang, China

Tóm tắt

Từ khóa


Tài liệu tham khảo

Cao J, Wang J (2002) Exponential stability and periodic oscillatory solution in BAM networks with delays. IEEE Trans Neural Netw 13(2): 457–463

Arik S (2003) Global asymptotic stability of a larger class of delayed cellular neural networks with constant delay. Phys Lett A 311(4): 504–511

Chen T, Rong L (2004) Robust global exponential stability of Cohen–Grossberg neural networks with time delays. IEEE Trans Neural Netw 15(1): 203–206

Ensari T, Arik S (2005) Global stability of class of neural networks with time varying delays. IEEE Trans Circuits Syst II, Exp Briefs 52(3): 126–130

Liang J, Cao J (2006) A based-on LMI stability criterion for delayed recurrent neural networks. Chaos, Solitons & Fractals 28(1): 154–160

Singh V (2006) Simplifed LMI condition for global asymptotic stability of delayed neural networks. Chaos, Solitons & Fractals 29(2): 470–473

He Y, Liu GP, Rees D (2007) New delay-dependent stability criteria for neural networks with time-varying delay. IEEE Trans Neural Netw 18(1): 310–314

He Y, Liu GP, Rees D, Wu M (2007) Stability analysis for neural networks with time-varying interval delay. IEEE Trans Neural Netw 18(6): 1850–1854

Huang T (2006) Exponential stability of fuzzy cellular neural networks with distributed delay. Phys Lett A 351(1-2): 48–52

Park JUH, Cho HJ (2007) A delay-dependent asymptotic stability criterion of cellular neural networks with time-varying discrete and distributed delays. Chaos, Solitons & Fractals 33(2): 436–442

Kwon OM, Park JUH (2008) Exponential stability for uncertain cellular neural networks with discrete and distributed time-varying delays. App Math Comput 203(2): 812–823

Kwon OM, Park JUH (2008) Delay-dependent stability for uncertain cellular neural networks with discrete and distribute time-varying delays. J Frank Inst 345(7): 766–778

Park JUH (2008) On global stability criterion of neural networks with continuously distributed delays. Chaos, Solitons & Fractals 37(2): 444–449

Li H, Chen B, Zhou Q, Fang S (2008) Robust exponential stability for uncertain stochastic neural networks with discrete distributed time-varying delays. Phys Lett A 372(19): 3385–3394

Zhou T, Liu Y, Li X, Liu Y (2009) A new criterion to global exponential periodicity for discrete-time BAM neural network with infinite delays. Chaos, Solitons & Fractals 39(1): 332–341

Bevelevich V (1968) Classical network synthesis. Van Nostrand, NewYork

Hill D, Moylan P (1977) Stability results for nonlinear feedback systems. Automatica 13(4): 377–382

Chua LO (1999) Passivity and complexity. IEEE Trans Circuits Syst I, Fundam Theory Appl 46(1): 71–82

Xie L, Fu M, Li H (1998) Passivity analysis and passification for uncertain signal processing systems. IEEE Trans Signal Process 46(9): 2394–2403

Yu W (1999) Passive equivalence of chaos in Lorenz system. IEEE Trans. Circuits Syst I, Fundam Theory Appl 46(7): 876–878

Wu CW (2001) Synchronization in arrays of coupled nonlinear systems: passivity, circle criterion, and observer design. IEEE Trans Circuits Syst I 48((10): 1257–1261

Calcev G (1998) Passivity approach to fuzzy control systems. Automatica 33(3): 339–344

Cui BT, Hua MG (2006) Robust passive control for uncertain discrete-time systems with time-varying delays. Chaos, Solitons & Fractals 29(2): 331–341

Guan ZH, Zhang H, Yang SH (2008) Robust passive control for Internet-based switching systems with time-delay. Chaos, Solitons & Fractals 36(2): 479–486

Li C, Liao X (2005) Passivity analysis of neural networks with time delay. IEEE Trans Circuits Syst II, Exp Briefs 52(8): 471–475

Lou X, Cui B (2007) Passivity analysis of integro-differential neural networks with time-varying delays. Neurocomputing 70(4–6): 1071–1078

Song Q, Liang J, Wang Z (2009) Passivity analysis of discrete-time stochastic neural networks with time-varying delays. Neurocomputing 72(7–9): 1782–1788

Park JUH (2007) Further results on passivity analysis of delayed cellular neural networks. Chaos, Solitons & Fractals 34(5): 1546–1551

Lu CY, Tsai HH, Su TJ, Tsai JSH, Liao CW (2008) A delay-dependent approach to passivity analysis for uncertain neural networks with time-varying delay. Neural Process Lett 27(3): 237–246

Song Q, Wang Z, New results on passivity analysis of uncertain neural networks with time-varying delays. Int J Comput Math, DOI: 1080/00207160802166507

Chen B, Li H, Lin C, Zhou Q (2009) Passivity analysis for uncertain neural networks with discrete and distributed time-varying delays. Phys Lett A 373(14): 1242–1248

Gouaisbaut F, Peaucelle D (2006) Delay-dependent stability analysis of linear time delay systems. In: Proceedings of the 6th IFAC workshop on time-delay systems, L’Aquila, Italy, July 10–12

Han QL (2009) A delay decomposition approach to stability of linear neutral systems. In: Proceedings of the 17th IFAC world congress, Seoul, Korea, July 6–11, pp 2607–2612

Han QL (2009) A discrete delay decomposition approach to stability of linear retarded and neutral systems. Automatica 45(2): 517–524

Hu L, Gao H, Zheng WX (2008) Novel stability of cellular neural networks with interval time-varying delay. Neural Netw 21(10): 1458–1463

He Y, Wu M, She JH, Liu GP (2004) Delay-dependent robust stability criteria for uncertain neutral systems with mixed delays. Syst Control Lett 51(1): 57–65

He Y, Wang QG, Xie L, Lin C (2007) Further improvement of free-weighting matrices technique for systems with timevarying delay. IEEE Trans Autom Control 52(2): 293–299

Mahmoud MS (2004) Resilient control of uncertain dynamical systems. Springer, Berlin