Existence of a differential realization of a dynamical system in a Banach space in the constructions of extensions to M^sub p^-operators

For families of continuous controlled dynamic input-output processes, we obtain and discuss necessary and sufficient conditions for their differential realization in the class of quasilinear nonstationary differential equations of state in a Banach space.[PUBLICATION ABSTRACT]

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Bibliographic Details
Published in:Differential equations 2013-03, Vol.49 (3), p.346
Main Authors: Rusanov, V A, Lakeev, A V, Linke, Yu É
Format: Article
Language:English
Subjects:
Banach spaces
Control theory
Differential equations
Dynamical systems
Inequality
Mathematical analysis
Studies
Online Access:Get full text
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Description
Summary:For families of continuous controlled dynamic input-output processes, we obtain and discuss necessary and sufficient conditions for their differential realization in the class of quasilinear nonstationary differential equations of state in a Banach space.[PUBLICATION ABSTRACT]
ISSN:0012-2661
1608-3083
DOI:10.1134/S0012266113030105