Titlebook: Geometric Optimal Control; Theory, Methods and Heinz Schättler,Urszula Ledzewicz Textbook 2012 Springer Science+Business Media, LLC 2012 L

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Stephan Güsken,Gero Ritzenhöfer a point. If the reachable sets are known exactly, not only necessary conditions, but complete solutions can be obtained for related optimal control problems (e.g., the time-optimal control problem). In general, determining these sets is as difficult a problem as solving an optimal control problem.

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Reachable Sets of Linear Time-Invariant Systems: From Convex Sets to the Bang-Bang Theorem,As a precursor to the proof of the maximum principle for a general nonlinear system, in this chapter we develop the classical results about the structure of the reachable set for linear time-invariant systems with bounded control sets and prove Theorem 2.5.3 of Chap. 2.

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Textbook 2012ry to the advanced. Parts of the text can be viewed as a comprehensive textbook for both advanced undergraduate and all level graduate courses on optimal control in both mathematics and engineering departments. The text moves smoothly from the more introductory topics to those parts that are in a mo

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Textbook 2012 optimal control problems. The emphasis is on the geometric aspects of the theory and on illustrating how these methods can be used to solve optimal control problems. It provides tools and techniques that go well beyond standard procedures and can be used to obtain a full understanding of the global

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