Feedback Stabilization and Lyapunov Functions
نویسندگان
چکیده
Given a locally defined, nondifferentiable but Lipschitz Lyapunov function, we construct a (discontinuous) feedback law which stabilizes the underlying system to any given tolerance. A further result shows that suitable Lyapunov functions of this type exist under mild assumptions. We also establish a robustness property of the feedback relative to measurement error commensurate with the sampling rate of the control implementation scheme.
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عنوان ژورنال:
- SIAM J. Control and Optimization
دوره 39 شماره
صفحات -
تاریخ انتشار 2000