Some problems of second method of Lyapunov in discrete systems
type: Item
instance of: scholarly article
title: Some problems of second method of Lyapunov in discrete systems
zbMATH Open document ID: 0733.93066
DOI: 10.1007/BF02014472
author: N. E. Zubov
published in: Applied Mathematics and Mechanics. (English Edition)
publication date: 1988-01-01T00:00:00Z
review text: The geometric properties of the solution of the Lyapunov equation of a lineare time-invariant discrete system are discussed. Furthermore the stability of piecewise linear discrete systems is studied and some sufficient conditions are obtained for the asymptotical stability of piecewise linear discrete systems in which each subsystem is stable. The results are applied to second order piecewise linear systems.
Mathematics Subject Classification ID: 93D20
Mathematics Subject Classification ID: 93C05
zbMATH DE Number: 4213878
zbMATH Keywords: Lyapunov equation
zbMATH Keywords: lineare time-invariant discrete system
zbMATH Keywords: time-invariant
MaRDI profile type: Publication
cites work: Stability of dynamical systems: A constructive approach
cites work: On the use of the deterministic Lyapunov function for the ergodicity of stochastic difference equations
cites work: State Constraints in Convex Control Problems of Bolza
cites work: Threshold models in non-linear time series analysis
full work available at URL: https://doi.org/10.1007/bf02014472
OpenAlex ID: W18578772
reviewed by: Zvi Artstein
description: scientific article; zbMATH DE number 4213878