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Control Theory for Partial Differential Equations: Volume 1, Abstract Parabolic Systems
Irena LasieckaRoberto Triggiani
其他書名
Continuous and Approximation Theories
出版Cambridge University Press, 2000-02-13
主題Mathematics / GeneralMathematics / Differential Equations / General
ISBN05214340849780521434089
URLhttp://books.google.com.hk/books?id=KNORzQEACAAJ&hl=&source=gbs_api
註釋This is the first volume of a comprehensive and up-to-date treatment of quadratic optimal control theory for partial differential equations over a finite or infinite time horizon, and related differential (integral) and algebraic Riccati equations. The authors describe both continuous theory and numerical approximation. They use an abstract space, operator theoretic approach, based on semigroups methods and unifying across a few basic classes of evolution. The various abstract frameworks are motivated by, and ultimately directed to, partial differential equations with boundary/point control. Volume I includes the abstract parabolic theory (continuous theory and numerical approximation theory) for the finite and infinite cases and corresponding PDE illustrations, and presents numerous new results. These volumes will appeal to graduate students and researchers in pure and applied mathematics and theoretical engineering with an interest in optimal control problems.