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Part of the book series: Communications and Control Engineering ((CCE))

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Abstract

The objective of this chapter is to describe optimal control theory in different situations. First we use a very basic problem in order to explain the theory as simply as possible, then we present the theory for general linear evolutive problems and for some classes of non-linear evolutive problems. In each section, we study the existence, the uniqueness and the optimality conditions for the optimal solution. We develop, our study for different realistic cases of observations and controls. The numerical aspect will be presented in a later chapter.

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© 2008 Springer London

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(2008). Optimal Control Problems. In: Stabilization, Optimal and Robust Control. Communications and Control Engineering. Springer, London. https://doi.org/10.1007/978-1-84800-344-6_7

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  • DOI: https://doi.org/10.1007/978-1-84800-344-6_7

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-84800-343-9

  • Online ISBN: 978-1-84800-344-6

  • eBook Packages: EngineeringEngineering (R0)

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