Titlebook: Optimal Control Theory for Infinite Dimensional Systems; Xunjing Li,Jiongmin Yong Book 1995 Birkhäuser Boston 1995 Algebra.Finite.calculus

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Existence Theory of Optimal Controls,In this chapter we will present an existence theory for optimal controls. The first, two sections contain some necessary preliminaries for the rest of the chapter. We have tried to make them self-contained. The readers who are only interested in the results of existence of optimal controls can skip these first two sections.

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,Necessary Conditions for Optimal Controls — Abstract Evolution Equations,In this chapter we present some necessary conditions of optimal controls for evolutionary systems. These necessary conditions are usually referred to as ..

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Linear Quadratic Optimal Control Problems,In this chapter we consider the optimal control problem with a linear state equation and a quadratic cost functional. Such problems are referred to as ., or LQ problems for short.

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Dynamic Programming Method for Evolution Systems,sional optimal control problems and is called the .. Recent works by Crandall-Lions on the . for Hamilton-Jacobi-Bellman equations are a breakthrough in this direction. These works are of key importance in this chapter.

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978-1-4612-8712-4Birkhäuser Boston 1995

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