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
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;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2013.2246900
