Preservation of exponential stability in discrete control systems with adaptive stabilization
type: Item
instance of: scholarly article
title: Preservation of exponential stability in discrete control systems with adaptive stabilization
zbMATH Open document ID: 0729.93061
DOI: 10.1007/BF00970071
published in: Siberian Mathematical Journal
publication date: 1990-01-01T00:00:00Z
review text: Nonlinear, time-invariant, finite-dimensional closed-loop control systems are considered. It is assumed, that the controls are piecewise-constant functions with prescribed points of discontinuities. Under the additional assumptions on the smoothness of the functions in the differential state equations and algebraic output equations, sufficient conditions for preservation of exponential stability are formulated and proved. Adaptive stabilizability problems for linear time-invariant finite-dimensional dynamical systems with discrete controls are also considered. Moreover, remarks and comments on the relationships between different kinds of stability are given. Similar stability problems have been considered in the book of \textit{D. P. Derevitskij} and \textit{A. L. Fradkov} [Practical theory of discrete adaptive control systems (1981; Zbl 0518.93001) (in Russian)].
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 93C10
zbMATH DE Number: 4207944
zbMATH Keywords: closed-loop control systems
zbMATH Keywords: exponential stability
zbMATH Keywords: Adaptive stabilizability problems
zbMATH Keywords: dynamical systems with discrete controls
author: Vasile Dragan
author: Aristide Halanay
reviewed by: Jerzy Klamka
MaRDI profile type: Publication
cites work: Q4103407
cites work: Q3674452
description: scientific article; zbMATH DE number 4207944