LYAPUNOV STABILITY THEORY OF NONSMOOTH SYSTEMS

Authors
SHEVITZ D PADEN B
Citation
D. Shevitz et B. Paden, LYAPUNOV STABILITY THEORY OF NONSMOOTH SYSTEMS, IEEE transactions on automatic control, 39(9), 1994, pp. 1910-1914
Citations number
14
Categorie Soggetti
Controlo Theory & Cybernetics","Robotics & Automatic Control","Engineering, Eletrical & Electronic
Journal title
IEEE transactions on automatic control → ACNP
ISSN journal
00189286
Volume
39
Issue
9
Year of publication
1994
Pages
1910 - 1914
Database
ISI
SICI code
0018-9286(1994)39:9<1910:LSTONS>2.0.ZU;2-R
Abstract
This paper develops nonsmooth Lyapunov stability theory and LaSalle's invariance principle for a class of nonsmooth Lipschitz continuous Lya punov functions and absolutely continuous state trajectories. Computab le tests based on Filipov's differential inclusion and Clarke's genera lized gradient are derived. The primary use of these results is in ana lyzing the stability of equilibria of differential equations with disc ontinuous right-hand side such as in nonsmooth dynamic systems or vari able structure control.