Title :
Lyapunov stability theory of nonsmooth systems
Author :
Shevitz, Daniel ; Paden, Brad
Author_Institution :
Dept. of Mech. Eng., California Univ., Santa Barbara, CA, USA
fDate :
9/1/1994 12:00:00 AM
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 discontinuous right-hand side such as in nonsmooth dynamic systems or variable structure control
Keywords :
Lyapunov methods; differential equations; stability; Lyapunov stability theory; absolutely continuous state trajectories; differential equations; equilibria; invariance principle; nonsmooth Lipschitz continuous Lyapunov functions; nonsmooth systems; Area measurement; Books; Control systems; Differential equations; Friction; Lyapunov method; Stability analysis; Testing; Time measurement; Variable structure systems;
Journal_Title :
Automatic Control, IEEE Transactions on
