Decomposition and control
type: Item
instance of: scholarly article
title: Decomposition and control
zbMATH Open document ID: 0616.93012
DOI: 10.1016/0022-247X(87)90278-2
author: Kevin A. Grasse
author: Nelson Wax
published in: Journal of Mathematical Analysis and Applications
publication date: 1987-01-01T00:00:00Z
review text: Nonlinear nonautonomous control systems describable by ordinary vector differential equations are considered. Approximate and exact methods for decomposition into serial or parallel connections of subsystems of lower order are presented. It is assumed that the treated control systems are globally or locally decomposable. Certain controllability properties of the systems given in decomposed form are studied. Several special cases are considered and sufficient conditions for complete controllability in fixed time interval and local controllability along the trajectory are presented and proved. Local path controllability is also considered and some results are given. Similar decomposition problems for nonlinear control systems have been treated by the first author [SIAM J. Control Optimization 20, 311-327 (1982; Zbl 0485.49025) and J. Math. Anal. Appl. 91, 305-318 (1983; Zbl 0529.93010)].
Mathematics Subject Classification ID: 93B10
Mathematics Subject Classification ID: 93B05
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 93A99
Mathematics Subject Classification ID: 93B03
zbMATH DE Number: 3999750
zbMATH Keywords: time-dependent
zbMATH Keywords: continuous-time
reviewed by: Jerzy Klamka
MaRDI profile type: Publication
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full work available at URL: 0022-247x(87)90278-2
OpenAlex ID: W2047355632
description: scientific article; zbMATH DE number 3999750