Synthesis of restricted inertial controls for systems with multivariate control
type: Item
instance of: scholarly article
title: Synthesis of restricted inertial controls for systems with multivariate control
zbMATH Open document ID: 1019.93048
DOI: 10.1016/S0022-247X(02)00243-3
author: V. O. Skoryk
author: V. I. Korobov
published in: Journal of Mathematical Analysis and Applications
publication date: 2003-02-11T00:00:00Z
review text: The problem under consideration concerns the stabilizability of the origin by feedback for a nonlinear control system when a preassigned restriction on the derivatives of the feedback is assumed. This problem, called ``controllability with restricted inertial controls'', is studied by constructing a family of \(C^1\) smooth controllability functions. Results of the synthesis of inertial control are presented in two cases: -- linear control systems: \(x'= Ax+ Bu\), -- nonlinear systems: \(x'= Ax+ Bu+ g(x,u)\) (where \(g\) is Lipschitz and satisfies suitable growth conditions).
reviewed by: Marc Quincampoix
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 93B50
Mathematics Subject Classification ID: 93B05
zbMATH DE Number: 1866672
zbMATH Keywords: controllability with restricted inertial controls
zbMATH Keywords: stabilizability
zbMATH Keywords: nonlinear control
zbMATH Keywords: controllability functions
zbMATH Keywords: synthesis
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1866672