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

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Control-Affine Systems in Low Dimensions: From Small-Time Reachable Sets to Time-Optimal Syntheses, 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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https://doi.org/10.1007/978-1-4614-3834-2Lie bracket computations; Pontryagin Maximum Principle; calculus of variations; geometric optimal contr

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= .(.), is linked in time to the application of a control function, . = .(.), by means of the solution to an ordinary differential equation whose right-hand side is shaped by the control. We now consider multidimensional systems in which both the state and the control variables no longer need to be

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