Stability via the Lyapunov function with a discontinuous derivative
type: Item
instance of: scholarly article
title: Stability via the Lyapunov function with a discontinuous derivative
zbMATH Open document ID: 0731.34058
DOI: 10.1016/0022-247X(90)90100-T
author: Junji Kato
author: Jaqi Pan
published in: Journal of Mathematical Analysis and Applications
publication date: 1990-01-01T00:00:00Z
review text: Uniform asymptotic stability of the zero solution of the differential delay equation \(\dot x(t)=f(t,x(t),x(t-\tau))\) is obtained using a Lyapunov function with discontinuous derivative.
reviewed by: T. C. Gard
Mathematics Subject Classification ID: 34D20
Mathematics Subject Classification ID: 34K20
zbMATH DE Number: 4208574
zbMATH Keywords: asymptotic stability
zbMATH Keywords: differential delay equation
zbMATH Keywords: Lyapunov function
MaRDI profile type: Publication
cites work: Q3222531
cites work: Existence and stability of solutions of a delay-differential system
cites work: Q5509729
cites work: Q4084059
cites work: Q3293556
cites work: Q3344398
cites work: Q5183880
cites work: Stability conditions for nonlinear control processes using Lyapunov functions with discontinuous derivatives
cites work: Differential inequalities and non-lipschitz scalar functions
cites work: Q5520199
full work available at URL: 0022-247x(90)90100-t
OpenAlex ID: W2089102374
Recommended article: Stability and Stabilization of Discontinuous Systems and Nonsmooth Lyapunov Functions
Recommended article: Lyapunov stability of discontinuous dynamic systems
Recommended article: On stability of discontinuous systems via vector Lyapunov functions
Recommended article: Stability of functional differential equations and perturbing a Lyapunov function
Recommended article: On the continuity of the Lyapunov functions in the converse stability theorems for discontinuous dynamical systems
Recommended article: Stability analysis of discontinuous dynamical systems using vector Lyapunov functions
Recommended article: Lyapunov stability with respect to given state functions
Recommended article: Q3497432
Recommended article: Stability of discontinuous differential equations with finite number of retarded terms by lyapunov functions
Recommended article: Stability, asymptotic and exponential stability for various types of equations with discontinuous solutions via Lyapunov functionals
description: scientific article; zbMATH DE number 4208574