Scattering theory and linear optimal control: regulator and servo problems

Warrior, Jogesh ; Viswanadham, N. (1978) Scattering theory and linear optimal control: regulator and servo problems Proceedings of 1978 IEEE Conference on Decision and Control including the 17th Symposium on Adaptive Processes, 17 . pp. 849-854.

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Related URL: http://dx.doi.org/10.1109/CDC.1978.268048

Abstract

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.

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