Integral input-to-state stability of switched nonlinear systems
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KünyeWang, Y. E., Wu, C., Sun, X., Dimirovski, G. M., & Zhao, J. (2013). Integral input-to-state stability of switched nonlinear systems. In 32nd Chinese Control Conference (CCC 2013) (pp. 6578-6582). Piscataway, NJ: IEEE.
This paper addresses the issues of the input-to-state stability (ISS) and integral input-to-state stability (iISS) for a class of switched nonlinear systems. Based on a piecewise Lyapunov function method, some sufficient conditions are explicitly given to guarantee the ISS and iISS of the switched nonlinear system under a certain class of switching signals, respectively. Moreover, the Lyapunov function considered in this paper decays in a more general form, which is presented as the negative definite function of the state instead of just some negative multiple of the Lyapunov function. This gives a more general sufficient conditions of input-to-state stability for switched nonlinear systems.