Optimal Feedback Control of Infinite-Dimensional Parabolic Evolution Systems: Approximation Techniques

1 November 1989

journal article
Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Control and Optimization

Vol. 27 (6) , 1182-1219
https://doi.org/10.1137/0327062

Abstract

This paper presents a general approximation framework for the computation of optimal feedback controls in linear quadratic regulator problems for nonautonomous parabolic distributed parameter systems. This is done in the context of a theoretical framework using general evolution systems in infinite-dimensional Hilbert spaces. The authors discuss conditions for preservation under approximation of stabilizability and detectability hypotheses on the infinite-dimensional system. The special case of periodic systems is also treated.

Keywords

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