On the Lyapunov stability of discrete-time processes modeled by difference inclusions
type: Item
instance of: scholarly article
title: On the Lyapunov stability of discrete-time processes modeled by difference inclusions
zbMATH Open document ID: 0643.93049
DOI: 10.1016/0167-6911(88)90054-0
author: Stefen Hui
author: Stanislaw H. Żak
published in: Systems \& Control Letters
publication date: 1988-01-01T00:00:00Z
review text: The Lyapunov stability problem for finite-dimensional, autonomous, nonlinear difference inclusions with upper-semicontinuous right-hand- sides is studied. By introducing the usual Lyapunov function for discrete processes two theorems about stability and asymptotic stability of an equilibrium set for the inclusions under consideration and one theorem about instability are proved.
reviewed by: Z.Wyderka
Mathematics Subject Classification ID: 93D05
Mathematics Subject Classification ID: 93C55
Mathematics Subject Classification ID: 93D20
Mathematics Subject Classification ID: 34A60
Mathematics Subject Classification ID: 39A12
Mathematics Subject Classification ID: 93B05
zbMATH DE Number: 4049509
zbMATH Keywords: Lyapunov stability
zbMATH Keywords: finite-dimensional, autonomous, nonlinear difference inclusions
MaRDI profile type: Publication
full work available at URL: 0167-6911(88)90054-0
OpenAlex ID: W2068400250
cites work: Q3324260
cites work: Continuous state feedback guaranteeing uniform ultimate boundedness for uncertain dynamic systems
cites work: Q5185575
cites work: Differential equations with discontinuous right-hand side
cites work: Properties of Min-Max Controllers in Uncertain Dynamical Systems
cites work: An iterative method of Lyapunov function construction for differential inclusions
cites work: The stability and control of discrete processes
cites work: An approach to nonlinear programming
cites work: Lyapunov functions that specify necessary and sufficient conditions of absolute stability of nonlinear nonstationary control systems. I
cites work: Q5848315
cites work: Structural Stabilization of Uncertain Systems: Necessity of the Matching Condition
cites work: Variable structure systems with sliding modes
description: scientific article; zbMATH DE number 4049509