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Original Articles

THE LINEAR-QUADRATIC CONTROL PROBLEM: A REVIEW OF THEORY AND PRACTICE

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Pages 57-76 | Received 04 Aug 1972, Accepted 01 Nov 1972, Published online: 21 May 2007
 

Abstract

The linear-quadratic control problem (LQP) assumes central importance in control theory, and therefore it has been extensively studied in the past decade. This review examines the recent developments related to the LQP, providing a comprehensive coverage for both the lumped and distributed parameter LQP's. The existing theory and practice of the lumped LQP are presented in detail, while the distributed case is considered from a different viewpoint, since its applications and solution techniques are still in a stage of development. The generalized treatment of this subject should prove useful not only to the systems engineer but also the engineer who specializes in other areas of chemical engineering.

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