DocumentCode
36422
Title
LaSalle-Yoshizawa Corollaries for Nonsmooth Systems
Author
Fischer, Normann ; Kamalapurkar, Rushikesh ; Dixon, Warren E.
Author_Institution
Dept. of Mech. & Aerosp. Eng., Univ. of Florida, Gainesville, FL, USA
Volume
58
Issue
9
fYear
2013
fDate
Sept. 2013
Firstpage
2333
Lastpage
2338
Abstract
In this technical 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 that achieve asymptotic convergence when the candidate Lyapunov derivative is upper bounded by a negative semi-definite function in the presence of differential inclusions are presented. A design example illustrates the utility of the corollaries.
Keywords
Lyapunov methods; asymptotic stability; convergence of numerical methods; nonlinear differential equations; LaSalle-Yoshizawa corollaries; Lyapunov derivative; Lyapunov-based analysis methods; asymptotic convergence; differential inclusions; discontinuous right-hand sides; nonautonomous systems; nonlinear differential equations; nonsmooth systems; semidefinite function; LaSalle´s Theorem; nonlinear control systems; sliding mode control;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.2013.2246900
Filename
6508855
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