Asynchronous switching for switched nonlinear input delay systems with unstable subsystems |
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| Authors: | Yue-E Wang Ben Niu Bao-wei Wu Caiyun Wu Xue-Jun Xie |
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| Institution: | 1. School of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710119, China;2. College of Mathematics and Physics and Automation Research Institute, Bohai University, Jinzhou 121013, China;3. School of Equipment Engineering, Shenyang Ligong University, Shenyang 110159, China;4. Institute of Automation, Qufu Normal University, Qufu 273165, China |
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| Abstract: | We study the input-to-state stability (ISS) of switched nonlinear input delay systems under asynchronous switching. Our results apply to cases where some subsystems of the switched systems are not necessarily stable under the influence of input delay. By making a compromise among the matched-stable period, the matched-unstable period, and the unmatched period and allowing the increase of the Lyapunov–Krasovskii functional (LKF) on all the switching times, the extended stability criteria for switched delay systems in generally nonlinear setting are derived first. Then, we focus on switched nonlinear input delay systems where the presence of the input delay leads to the instability of some subsystems of it. By explicitly constructing input-to-state stable LKF, the sufficient conditions for ISS of switched nonlinear input delay systems under asynchronous switching are presented. Finally, two examples are given to illustrate the effectiveness of the proposed theory. |
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| Keywords: | Corresponding author |
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