Linear quadratic regulator for systems governed by B-evolutions

N. U. Ahmed; S. Kerbal

Linear quadratic regulator for systems governed by B-evolutions

N. U. Ahmed^*, S. Kerbal

^*Corresponding author for this work

Mathematics & Statistics

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

In this paper we consider the linear, quadratic regulator problem for a class of infinite dimensional systems involving dynamic boundary conditions. Two results are presented one of which contains control cost and the other does not. The first one uses the standard coercivity condition and second uses controllability. The optimal control law is given by the solution of appropriate operator Riccati differential equations.

Original language	English
Pages (from-to)	527-537
Number of pages	11
Journal	Dynamics of Continuous, Discrete and Impulsive Systems Series B: Application and Algorithm
Volume	4
Issue number	4
Publication status	Published - Dec 1998

ASJC Scopus subject areas

Analysis
Applied Mathematics
Discrete Mathematics and Combinatorics

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title = "Linear quadratic regulator for systems governed by B-evolutions",

abstract = "In this paper we consider the linear, quadratic regulator problem for a class of infinite dimensional systems involving dynamic boundary conditions. Two results are presented one of which contains control cost and the other does not. The first one uses the standard coercivity condition and second uses controllability. The optimal control law is given by the solution of appropriate operator Riccati differential equations.",

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AU - Kerbal, S.

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AB - In this paper we consider the linear, quadratic regulator problem for a class of infinite dimensional systems involving dynamic boundary conditions. Two results are presented one of which contains control cost and the other does not. The first one uses the standard coercivity condition and second uses controllability. The optimal control law is given by the solution of appropriate operator Riccati differential equations.

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