Almost global stability of nonlinear switched systems with mode-dependent and edge-dependent average dwell time |
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Institution: | 1. School of Automation, Nanjing University of Science and Technology, Nanjing 210094, People’s Republic of China;2. Department of Mathematical Sciences, Shibaura Institute of Technology, Saitama 337-8570, Japan |
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Abstract: | It has recently been shown that almost global stability of nonlinear switched systems can be characterized using multiple Lyapunov densities. This has been accomplished for switched systems subject to a minimum dwell time or an average dwell time constraint. In this paper, as an extension of the aforementioned results, we provide a sufficient condition on mode-dependent and edge-dependent average dwell time to ensure almost global stability of a nonlinear switched system. The relations between average dwell time, mode-dependent, and edge-dependent average dwell time have been discussed. The obtained results for nonlinear switched systems imply the existing results for linear switched systems. |
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Keywords: | Almost global stability Multiple Lyapunov densities Average dwell time Mode-dependent average dwell time Edge-dependent average dwell time |
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