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arXiv · 1205.6765

A Corollary for Nonsmooth Systems

N. Fischer·R. Kamalapurkar·W. E. Dixon
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Abstract

In this note, two generalized corollaries to the LaSalle-Yoshizawa Theorem are presented for nonautonomous systems described by nonlinear differential equations with discontinuous right-hand sides. Lyapunov-based analysis methods are developed using differential inclusions to achieve asymptotic convergence when the candidate Lyapunov derivative is upper bounded by a negative semi-definite function.

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N. Fischer, R. Kamalapurkar, W. E. Dixon. 2012-10-31. A Corollary for Nonsmooth Systems. https://doi.org/10.1109/tac.2013.2246900

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