On stability of discontinuous systems via vector Lyapunov functions

DOI10.1007/S10483-007-1208-XzbMath1231.93086OpenAlexW1976222297MaRDI QIDQ940493

Gui-fang Cheng, Zhi-shuai Ding, Xiao-wu Mu

Publication date: 1 September 2008

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-007-1208-x

zbMATH Keywords

stabilitycomparison principlesvector Lyapunov functionsdiscontinuous systemsFilippov solutions

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Asymptotic stability in control theory (93D20)

Related Items (1)

Finite-time stability with respect to a closed invariant set for a class of discontinuous systems

Cites Work

• New directions in the method of vector Lyapunov functions
• Set differential systems and vector Lyapunov functions
• Stability and Stabilization of Discontinuous Systems and Nonsmooth Lyapunov Functions
• Lyapunov stability theory of nonsmooth systems
• An Integral Invariance Principle for Differential Inclusions with Applications in Adaptive Control
• Existence of CarathÉodory Solutions in Nonlinear Systems With Discontinuous Switching Feedback Controllers
• On the Stability and Control of Nonlinear Dynamical Systems via Vector Lyapunov Functions
• Differential equations with discontinuous right-hand side
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