Delay-Dependent Stability Criteria of Uncertain Periodic Switched Recurrent Neural Networks with Time-Varying Delays. (21st December 2011)

• Record Type: Journal Article
• Authors: Yin, Xing; Li, Jun; Wu, Weigen; Tan, Qiranrong
• Other Names: Zheng Baodong Academic Editor.
• Is Part Of: Discrete dynamics in nature and society. Volume 2011(2011)
• Publication Date: 2011-12-21
• Subjects: System analysis -- Periodicals; Dynamics -- Periodicals; Chaotic behavior in systems -- Periodicals; Differentiable dynamical systems -- Periodicals; 003.05
• DOI: 10.1155/2011/325371
• Languages: English
• ISSNs: 1026-0226

Abstract

Abstract : This paper deals with the problem of delay-dependent stability criterion of uncertain periodic switched recurrent neural networks with time-varying delays. When uncertain discrete-time recurrent neural network is a periodic system, it is expressed as switched neural network for the finite switching state. Based on the switched quadratic Lyapunov functional approach (SQLF) and free-weighting matrix approach (FWM), some linear matrix inequality criteria are found to guarantee the delay-dependent asymptotical stability of these systems. Two examples illustrate the exactness of the proposed criteria.