Input-to-state stability of switched nonlinear systems |
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| Authors: | Wei Feng JiFeng Zhang |
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| Affiliation: | [1]College of Information Sciences and Engineering, Shandong Agricultural University, Tai'an 271018, China; [2]Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China |
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| Abstract: | The input-to-state stability (ISS) problem is studied for switched systems with infi-nite 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 con-ditions are obtained for switched nonlinear systems and switched linear systems, respectively. |
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| Keywords: | switched system input-to-state stability Lyapunov function dwell-time |
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