Delay-decomposing approach to robust stability for switched interval networks with state-dependent switching

作者：Li, Ning; Cao, Jinde^*; Hayat, Tasawar

来源：Cognitive Neurodynamics, 2014, 8(4): 313-326.

DOI：10.1007/s11571-014-9279-z

• Switched interval networks
• Robust asymptotic stability
• Delay-decomposing approach
• Interval time-varying delay
• Parameters uncertainty

This paper is concerned with a class of nonlinear uncertain switched networks with discrete time-varying delays . Based on the strictly complete property of the matrices system and the delay-decomposing approach, exploiting a new Lyapunov-Krasovskii functional decomposing the delays in integral terms, the switching rule depending on the state of the network is designed. Moreover, by piecewise delay method, discussing the Lyapunov functional in every different subintervals, some new delay-dependent robust stability criteria are derived in terms of linear matrix inequalities, which lead to much less conservative results than those in the existing references and improve previous results. Finally, an illustrative example is given to demonstrate the validity of the theoretical results.

• 出版日期2014-8
• 单位东南大学