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Titlebook: Introduction to Optimal Control Theory; Jack Macki,Aaron Strauss Textbook 1982 Springer-Verlag New York, Inc. 1982 Optimal control.Optimal

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Textbook 1982ate-of-the-art handbook for researchers. We have tried to keep two types of reader in mind: (1) mathematicians, graduate students, and advanced undergraduates in mathematics who want a concise introduction to a field which contains nontrivial interesting applications of mathematics (for example, wea
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,Necessary Conditions for Optimal Controls — The Pontryagin Maximum Principle,here is a reasonable chance of our finding an optimal control if .. We emphasize that the PMP is a . set of conditions — there may be no optimal control, yet the PMP may delineate a nonempty class of candidates. To be sure that an optimal control actually exists, we must appeal to sufficiency theorems from Chapter IV.
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978-1-4612-5673-1Springer-Verlag New York, Inc. 1982
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Controllability,The Mathematical Appendix at the end of the book contains most of the basic results from the areas of linear algebra, functional analysis, convexity, and differential equations which we will need in this chapter.
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Existence Theorems for Optimal Control Problems,In this chapter we discuss sufficient conditions for the existence of an optimal control for the general problem: . with associated cost . Here, ., . are given continuous functions with values in . and ., respectively, ℐ(.) ≡ ., and . (which depends on .(·)) is the time at which the response arrives at the target.
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https://doi.org/10.1007/978-1-4612-5671-7Optimal control; Optimale Regelung; Pontryagin-Type; control; control theory; equation; mathematics; proof;
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