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Input-to-state stability of switched nonlinear systems

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Abstract

The input-to-state stability (ISS) problem is studied for switched systems with infinite subsystems. By using multiple Lyapunov function method, a sufficient ISS condition is given based on a quantitative relation of the control and the values of the Lyapunov functions of the subsystems before and after the switching instants. In terms of the average dwell-time of the switching laws, some sufficient ISS conditions are obtained for switched nonlinear systems and switched linear systems, respectively.

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Authors and Affiliations

  1. College of Information Sciences and Engineering, Shandong Agricultural University, Tai’an, 271018, China

    Wei Feng

  2. Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100080, China

    Wei Feng & JiFeng Zhang

Authors
  1. Wei Feng
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  2. JiFeng Zhang
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Correspondence to Wei Feng.

Additional information

Supported by the National Natural Science Foundation of China (Grant No. 60674038)

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Feng, W., Zhang, J. Input-to-state stability of switched nonlinear systems. Sci. China Ser. F-Inf. Sci. 51, 1992–2004 (2008). https://doi.org/10.1007/s11432-008-0161-7

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  • DOI: https://doi.org/10.1007/s11432-008-0161-7

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