Approximations of thermoelastic and viscoelastic control systems

J. A. Burns, Zhuangyi Liu, R. E. Miller

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

This paper deals with the development and analysis of well-posed models and computational algorithms for control of a class of partial differential equations that describe the motions of thermo-viscoelastic structures. We first present an abstract “state space” framework and a general well-posedness result that can be applied to a large class of thermo-elastic and thermo-viscoelastic models. This state space framework is used in the development of a computational scheme to be used in the solution of an LQR control problem. A detailed convergence proof is provided for the viscoelastic model, and several numerical results are presented to illustrate the theory and to analyze problems for which the theory is incomplete.

Original languageEnglish (US)
Pages (from-to)79-135
Number of pages57
JournalNumerical Functional Analysis and Optimization
Volume12
Issue number1-2
DOIs
StatePublished - Jan 1 1991
Externally publishedYes

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