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On the singular LQ control problem for nonregular implicit system.

Author(s)
Muhafzan Department of Mathematics, Faculty of Mathematics and Natural Science, Andalas University, Kampus UNAND Limau Manis, Padang, Indonesia
Malik Hj. Abu-Hassan Department of Mathematics, Faculty of Science, University Putra Malaysia, Serdang, Malaysia
Leong Wah June Department of Mathematics, Faculty of Science, University Putra Malaysia, Serdang, 43400 Malaysia
Abstract
This paper concerns with the LQ control problem for nonregular implicit system. Main objective of this paper is to solve LQ control problem for nonregular implicit system by utilizing the equivalent relationship principle between two optimal control problems. By constructing a LQ control problem subject to the standard state space system which is equivalent to the original problem, we point out that solvability of the new one is the sufficient condition to guarantees existence and uniqueness of solution for the original LQ control problem.
Publication Details
Page(s) 55-69
DOI DOI not available
Published Journal: Punjab University Journal of Mathematics, Volume: 38, Issue: 0, Year: 2006

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