Lyapunov Stability Theory of Nonsmooth Systems. Shevitz, D. & Paden, B. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 39(9):5, 1994. tex.ids: –Shevitz-Lyapunov
doi  abstract   bibtex   
This paper develops nonsmooth Lyapunov stability theory and LaSalle’s invariance principle for a class of nonsmooth Lipschitz continuous Lyapunov functions and absolutely continuous state trajectories. Computable tests based on Filipov’s differential inclusion and Clarke’s generalized gradient are derived. The primary use of these results is in analyzing the stability of equilibria of differential equations with discontinuousright-handside such as in nonsmoothdynamic systems or variable structure control.
@article{shevitz_lyapunov_1994,
	title = {Lyapunov {Stability} {Theory} of {Nonsmooth} {Systems}},
	volume = {39},
	doi = {10.1109/9.317122},
	abstract = {This paper develops nonsmooth Lyapunov stability theory and LaSalle’s invariance principle for a class of nonsmooth Lipschitz continuous Lyapunov functions and absolutely continuous state trajectories. Computable tests based on Filipov’s differential inclusion and Clarke’s generalized gradient are derived. The primary use of these results is in analyzing the stability of equilibria of differential equations with discontinuousright-handside such as in nonsmoothdynamic systems or variable structure control.},
	language = {en},
	number = {9},
	journal = {IEEE TRANSACTIONS ON AUTOMATIC CONTROL},
	author = {Shevitz, Daniel and Paden, Brad},
	year = {1994},
	note = {tex.ids: --Shevitz-Lyapunov},
	keywords = {/unread},
	pages = {5},
}

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