Delay-dependent passivity criteria for uncertain switched neural networks of neutral type with interval time-varying delay

被引:8
作者
Nagamani, G. [1 ]
Balasubramaniam, P. [1 ]
机构
[1] Gandhigram Rural Inst Deemed Univ, Dept Math, Gandhigram 624302, Tamil Nadu, India
关键词
GLOBAL ROBUST STABILITY; EXPONENTIAL STABILITY; ASYMPTOTIC STABILITY; DISCRETE; SYSTEMS; STABILIZATION;
D O I
10.1088/0031-8949/85/04/045010
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
This paper is concerned with the robust passivity analysis of uncertain switched neural networks of neutral type with interval time-varying delay. We first discuss the passivity conditions for the addressed model with norm bounded uncertainties and then extend this result to the case of interval uncertainties. For the neural networks under study, a generalized activation function is considered, where the traditional assumptions on the boundedness, monotonicity and differentiability of the activation functions are removed. Constructing a new Lyapunov-Krasovskii functional with triple integral terms and using a minimal number of free-weighting matrices, some passivity criteria are proposed in terms of linear matrix inequalities, which are dependent on the size of the time delay. Finally, some numerical examples are given to illustrate the effectiveness and merits of the developed techniques.
引用
收藏
页数:12
相关论文
共 53 条
[1]   Switched exponential state estimation of neural networks based on passivity theory [J].
Ahn, Choon Ki .
NONLINEAR DYNAMICS, 2012, 67 (01) :573-586
[2]   An error passivation approach to filtering for switched neural networks with noise disturbance [J].
Ahn, Choon Ki .
NEURAL COMPUTING & APPLICATIONS, 2012, 21 (05) :853-861
[3]   An H∞ approach to stability analysis of switched Hopfield neural networks with time-delay [J].
Ahn, Choon Ki .
NONLINEAR DYNAMICS, 2010, 60 (04) :703-711
[4]   NEURAL NETWORKS FOR SWITCHING [J].
BROWN, TX .
IEEE COMMUNICATIONS MAGAZINE, 1989, 27 (11) :72-81
[5]   Passivity approach to fuzzy control systems [J].
Calcev, G ;
Gorez, R ;
De Neyer, M .
AUTOMATICA, 1998, 34 (03) :339-344
[6]   Passivity analysis for uncertain neural networks with discrete and distributed time-varying delays [J].
Chen, Bing ;
Li, Hongyi ;
Lin, Chong ;
Zhou, Qi .
PHYSICS LETTERS A, 2009, 373 (14) :1242-1248
[7]   Improved Results on Passivity Analysis of Uncertain Neural Networks with Time-Varying Discrete and Distributed Delays [J].
Chen, Yonggang ;
Li, Wenlin ;
Bi, Weiping .
NEURAL PROCESSING LETTERS, 2009, 30 (02) :155-169
[8]   Passivity analysis of stochastic time-delay neural networks [J].
Chen, Yun ;
Wang, Huijiao ;
Xue, Anke ;
Lu, Renquan .
NONLINEAR DYNAMICS, 2010, 61 (1-2) :71-82
[9]   Passivity and complexity [J].
Chua, LO .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1999, 46 (01) :71-82
[10]   LMI conditions for global robust stability of delayed neural networks with discontinuous neuron activations [J].
Guo, Zhenyuan ;
Huang, Lihong .
APPLIED MATHEMATICS AND COMPUTATION, 2009, 215 (03) :889-900