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Approximations of Thermoelastic and Viscoelastic Control Systems

Institute for Computer Applications in Science and EngineeringJ. A. BurnsZ. Y. LiuR. E. Miller

出版	NASA Langley Research Center. Institute for Computer Applications in Science and Engineering [ICASE], 1990
URL	http://books.google.com.hk/books?id=JqpCAQAAMAAJ&hl=&source=gbs_api

註釋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. Keywords: Thermoelastic systems, Control systems, Approximation(Mathematics). (CP).