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An optimality criterion in a linear-quadratic optimal control problem for a descriptor system

An optimality criterion in a linear-quadratic optimal control problem for a descriptor system Differential Equations, Vol. 36, No. 11, 2000, pp. 1621-1627. Translated from Differentsial'nye Uravneniya, Vol. 36, No. 11, 2000, pp. 1475-1481. Original Russian Text Copyright (~) 2000 by Kostyukova. ORDINARY DIFFERENTIAL EQUATIONS An Optimality Criterion in a Linear-Quadratic Optimal Control Problem for a Descriptor System O. I. Kostyukova Institute for Mathematics, National Academy of Sciences, Belarus Received September 10, 1999 INTRODUCTION In the last decade, there have appeared numerous papers dealing with the study of descriptor systems, also known as degenerate systems, differential-algebraic systems, or systems unsolved for the derivative. The interest in these systems is due to the fact that numerous problems occurring in applications are described by such systems [1]. Descriptor systems are a generalization of ordinary systems of differential equations and obvi- ously include them as a special case. However, in the analysis and solution of descriptor systems in the general case, one encounters a number of difficulties that never occur in the investigation of systems of ordinary differential equations [2]. At present, substantial progress has been achieved in the investigation of descriptor systems. The papers [1, 3, 4] dealt with the analysis of properties of solutions of such systems and the construction of numerical methods for http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

An optimality criterion in a linear-quadratic optimal control problem for a descriptor system

Kostyukova, O.
Differential Equations , Volume 36 (11) – Nov 17, 2007
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References (12)

Publisher
Springer Journals
Copyright
Copyright © 2000 by MAIK “Nauka/Interperiodica”
Subject
Mathematics; Ordinary Differential Equations; Partial Differential Equations; Difference and Functional Equations
ISSN
0012-2661
eISSN
1608-3083
DOI
10.1007/BF02757362
Publisher site
See Article on Publisher Site

Abstract

Differential Equations, Vol. 36, No. 11, 2000, pp. 1621-1627. Translated from Differentsial'nye Uravneniya, Vol. 36, No. 11, 2000, pp. 1475-1481. Original Russian Text Copyright (~) 2000 by Kostyukova. ORDINARY DIFFERENTIAL EQUATIONS An Optimality Criterion in a Linear-Quadratic Optimal Control Problem for a Descriptor System O. I. Kostyukova Institute for Mathematics, National Academy of Sciences, Belarus Received September 10, 1999 INTRODUCTION In the last decade, there have appeared numerous papers dealing with the study of descriptor systems, also known as degenerate systems, differential-algebraic systems, or systems unsolved for the derivative. The interest in these systems is due to the fact that numerous problems occurring in applications are described by such systems [1]. Descriptor systems are a generalization of ordinary systems of differential equations and obvi- ously include them as a special case. However, in the analysis and solution of descriptor systems in the general case, one encounters a number of difficulties that never occur in the investigation of systems of ordinary differential equations [2]. At present, substantial progress has been achieved in the investigation of descriptor systems. The papers [1, 3, 4] dealt with the analysis of properties of solutions of such systems and the construction of numerical methods for

Journal

Differential Equations – Springer Journals

Published: Nov 17, 2007

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