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Scattering theory and linear optimal control: Regulator and servo problems

Warrior, Jogesh and Viswanadham, N (2007) Scattering theory and linear optimal control: Regulator and servo problems. In: 1978 IEEE Conference on Decision and Control including the 17th Symposium on Adaptive Processes, Jan. 1978.

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In this paper, several known computational solutions are readily obtained in a very natural way for the linear regulator, fixed end-point and servo-mechanism problems using a certain frame-work from scattering theory. The relationships between the solutions to the linear regulator problem with different terminal costs and the interplay between the forward and backward equations have enabled a concise derivation of the partitioned equations, the forward-backward equations, and Chandrasekhar equations for the problem. These methods have been extended to the fixed end-point, servo, and tracking problems.

Item Type: Conference Paper
Publisher: IEEE
Additional Information: Copyright 1978 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
Department/Centre: Division of Electrical Sciences > Computer Science & Automation
Date Deposited: 26 Dec 2011 07:57
Last Modified: 26 Dec 2011 07:57
URI: http://eprints.iisc.ac.in/id/eprint/42895

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