Problems of control and stabilization in dynamical systems
type: Item
instance of: scholarly article
title: Problems of control and stabilization in dynamical systems
zbMATH Open document ID: 0969.49022
DOI: 10.1007/BF02673836
author: N. N. Krasovskii
published in: Journal of Mathematical Sciences (New York)
publication date: 2000-11-07T00:00:00Z
review text: The article, containing the plenary talk given by the author at a recent International Conference dedicated to L. S. Pontryagin, discusses several ideas, concepts and results concerning, mainly, ``mixed strategies'', \(S_u, \;S_v\), defined as ``triples of conditional probability measures'', for differential games described by ``differential equations with aftereffect'' of the form: \[ x'=f(t,x[t_*[.]t],u,v), \;t_*<t_0<t, \;u\in U, \;v\in V \] and a ``performance index'' \(\gamma =\gamma (x[t_0[.]\theta)\). This very general and rather elliptic exposition uses concepts and results from most of author's books, in particular from one of the latest [\textit{A. N. Krasovskii} and \textit{N. N. Krasovskii}, ``Control under lack of information''. Basel: Birkhäuser (1995; Zbl 0827.93001)].
reviewed by: Ştefan Mirică
Mathematics Subject Classification ID: 49N70
Mathematics Subject Classification ID: 93C41
Mathematics Subject Classification ID: 49N35
Mathematics Subject Classification ID: 49N30
zbMATH DE Number: 1526513
zbMATH Keywords: differential game
zbMATH Keywords: mixed strategy
zbMATH Keywords: feedback control
zbMATH Keywords: incomplete information
zbMATH Keywords: disturbance
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02673836
OpenAlex ID: W2082076764
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description: scientific article; zbMATH DE number 1526513