Titlebook: Control Theory from the Geometric Viewpoint; Andrei A. Agrachev,Yuri L. Sachkov Book 2004 Springer-Verlag Berlin Heidelberg 2004 Lie brack

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Vorkurs Mathematik für Nebenfachstudierendee make use of some standard technique of Symplectic Geometry. In this chapter we develop such a technique. Before this we recall some basic facts on calculus of exterior differential forms on manifolds. The exposition in this chapter is rather explanatory than systematic, it is not a substitute to a

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Vorkurs Mathematik für Nebenfachstudierende to obtain a coordinate-free formulation of PMP on manifolds, we apply the technique of Symplectic Geometry developed in the previous chapter. The first classical version of PMP was obtained for optimal control problems in ℝ. by L. S. Pontryagin and his collaborators [15].

Tonometry

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Feedback and State Equivalence of Control Systems,th the right-hand side smooth in . and measurable, locally bounded in .. For such ODEs, there holds a standard theorem on existence and uniqueness of solutions, at least local. Solutions . to ODEs (9.2) are Lipschitzian curves in . (see Subsect. 2.4.1).

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Optimal Control Problem,ol parameter into system (10.1), then we obtain a nonautonomous ODE .. By the classical Carathéodory’s Theorem, for any point .. ∈ ., the Cauchy problem.has a unique solution, see Subsect. 2.4.1. We will often fix the initial point .. and then denote the corresponding solution to problem (10.5) as ....

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Book 2004duate courses given by the first coauthor in the years 2000-2001 at the International School for Advanced Studies, Trieste, Italy. Mathematical prerequisites are reduced to standard courses of Analysis and Linear Algebra plus some basic Real and Functional Analysis. No preliminary knowledge of Contr

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0938-0396 t of view. The book is mainly based on graduate courses given by the first coauthor in the years 2000-2001 at the International School for Advanced Studies, Trieste, Italy. Mathematical prerequisites are reduced to standard courses of Analysis and Linear Algebra plus some basic Real and Functional A

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