Abstract
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.
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Acknowledgments
The work was funded by the National Natural Science Foundation of China under Grant 61272530, the Natural Science Foundation of Jiangsu Province of China under Grant BK2012741, the Specialized Research Fund for the Doctoral Program of Higher Education under Grant 20110092110017 and 20130092110017 and supported by “the Fundamental Research Funds for the Central Universities”, the JSPS Innovation Program under Grant CXLX13_075.
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Li, N., Cao, J. & Hayat, T. Delay-decomposing approach to robust stability for switched interval networks with state-dependent switching. Cogn Neurodyn 8, 313–326 (2014). https://doi.org/10.1007/s11571-014-9279-z
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DOI: https://doi.org/10.1007/s11571-014-9279-z