Cognitive Neurodynamics

, Volume 8, Issue 4, pp 313–326

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

Research Article

DOI: 10.1007/s11571-014-9279-z

Cite this article as:
Li, N., Cao, J. & Hayat, T. Cogn Neurodyn (2014) 8: 313. doi:10.1007/s11571-014-9279-z


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.


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

Copyright information

© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  1. 1.Department of Mathematics, Research Center for Complex Systems and Network SciencesSoutheast UniversityNanjingChina
  2. 2.Department of MathematicsSoutheast UniversityNanjingChina
  3. 3.Department of Mathematics, Faculty of ScienceKing Abdulaziz UniversityJeddahSaudi Arabia
  4. 4.Department of MathematicsQuaid-I-Azam UniversityIslamabadPakistan

Personalised recommendations