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- W1963641363 abstract "In this paper, we show that general nonlinear switched systems are asymptotically controllable if and only if there exist control-Lyapunov functions for their relaxation systems. If the switching signal is dependent on the time, then the control-Lyapunov functions are continuous. And if the switching signal is dependent on the state, then the control-Lyapunov functions are <TEX>$C^1$</TEX>-smooth. We obtain the results from the viewpoint of control system theory. Our approach is based on the relaxation theorems of differential inclusions and the classic Lyapunov characterization." @default.
- W1963641363 created "2016-06-24" @default.
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- W1963641363 date "2014-01-31" @default.
- W1963641363 modified "2023-09-30" @default.
- W1963641363 title "A LYAPUNOV CHARACTERIZATION OF ASYMPTOTIC CONTROLLABILITY FOR NONLINEAR SWITCHED SYSTEMS" @default.
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- W1963641363 doi "https://doi.org/10.4134/bkms.2014.51.1.001" @default.
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