On stability of discontinuous systems via vector Lyapunov functions
type: Item
instance of: scholarly article
title: On stability of discontinuous systems via vector Lyapunov functions
zbMATH Open document ID: 1231.93086
published in: Applied Mathematics and Mechanics. (English Edition)
publication date: 2008-09-01T00:00:00Z
Mathematics Subject Classification ID: 93D05
Mathematics Subject Classification ID: 93D20
zbMATH DE Number: 5318322
zbMATH Keywords: Filippov solutions
zbMATH Keywords: comparison principles
zbMATH Keywords: stability
zbMATH Keywords: vector Lyapunov functions
zbMATH Keywords: discontinuous systems
author: Xiaowu Mu
author: Guifang Cheng
author: Zhishuai Ding
MaRDI profile type: Publication
full work available at URL: s10483-007-1208-x
OpenAlex ID: W1976222297
cites work: Differential equations with discontinuous right-hand side
cites work: Lyapunov stability theory of nonsmooth systems
cites work: An Integral Invariance Principle for Differential Inclusions with Applications in Adaptive Control
cites work: Stability and Stabilization of Discontinuous Systems and Nonsmooth Lyapunov Functions
cites work: On the Stability and Control of Nonlinear Dynamical Systems via Vector Lyapunov Functions
cites work: Q3999518
cites work: New directions in the method of vector Lyapunov functions
cites work: Existence of CarathÉodory Solutions in Nonlinear Systems With Discontinuous Switching Feedback Controllers
cites work: Q4375488
cites work: Set differential systems and vector Lyapunov functions
cites work: Q3946470
DOI: 10.1007/S10483-007-1208-X
Recommended article: Stability analysis of discontinuous dynamical systems using vector Lyapunov functions
Recommended article: Q3818946
Recommended article: Stability and Stabilization of Discontinuous Systems and Nonsmooth Lyapunov Functions
Recommended article: Lyapunov stability of discontinuous dynamic systems
Recommended article: Q3999518
Recommended article: Q4013659
Recommended article: On the Stability and Control of Nonlinear Dynamical Systems via Vector Lyapunov Functions
Recommended article: Stability via the Lyapunov function with a discontinuous derivative
Recommended article: Application of the Lyapunov vector functions to the stability study of fixed points in the sets of discrete dynamic systems
Recommended article: On the continuity of the Lyapunov functions in the converse stability theorems for discontinuous dynamical systems
description: scientific article; zbMATH DE number 5318322