On solving boundary value problems associated with generalised LQ control of 2-D systems

Ntogramatzidis, Lorenzo; Cantoni, M.

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Access Status

Open access

Authors

Ntogramatzidis, Lorenzo

Cantoni, M.

Date

2009

Type

Conference Paper

Metadata

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Citation

Ntogramatzidis, Lorenzo and Cantoni, Michael. 2009. On solving boundary value problems associated with generalised LQ control of 2-D systems, in Keviczky, L. (ed), Proceedings of the European Control Conference 2009, Aug 23-26 2009, pp. 1931-1936. Budapest, Hungary: Lavoisier SAS.

Source Title

Proceedings of the European Control Conference 2009

Source Conference

European Control Conference 2009

ISBN

978-963-311-369-1

School

Department of Mathematics and Statistics

URI

http://hdl.handle.net/20.500.11937/26044

Collection

Curtin Research Publications

Abstract

This paper considers the bounded-frame linear quadratic (LQ) optimal control problem for Roesser models with double-ended constraints on the horizontal and vertical semistates. Necessary and sufficient conditions for optimality are presented for this problem. We also identify and discuss situations in which it is possible to compute the optimal control law from these conditions.