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Titlebook: Analysis and Geometry in Control Theory and its Applications; Piernicola Bettiol,Piermarco Cannarsa,Franco Rampa Book 2015 Springer Intern

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2281-518X lysis and geometry has played a crucial role in the evolution of the field. This book collects some recent results, highlighting geometrical and analytical aspects and the possible connections between them. App978-3-319-36120-8978-3-319-06917-3Series ISSN 2281-518X Series E-ISSN 2281-5198
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Generalized Lax-Hopf Formulas for Cournot Maps and Hamilton-Jacobi-McKendrick Equations, “Lax-Hopf hull”, generally contained in its closed convex hull, and its “moderation”. If such a set-valued map is the right hand side of differential inclusion governing evolutions, its Lax-Hopf hull governs their average states and velocities on evolving temporal windows and its moderation provide
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Book 2015s. Control theory and its applications are no exception. Here, the interaction between analysis and geometry has played a crucial role in the evolution of the field. This book collects some recent results, highlighting geometrical and analytical aspects and the possible connections between them. App
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Analysis and Geometry in Control Theory and its Applications
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https://doi.org/10.1007/978-3-662-06728-4m of a differential inclusion. Our first result is a sensitivity relation which guarantees the propagation of the proximal subdifferential of . along any optimal trajectory. Then, we obtain the local .. regularity of the minimum time function along optimal trajectories by using such a relation to exclude the presence of conjugate times.
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C. García-Mateo,D. Docampo-Amoedor, we aim to minimize a cost functional, given initial and final conditions where the controlled dynamics are given by a nonholonomic mechanical system. In our paper, the controlled equations are derived using a basis of vector fields adapted to the nonholonomic distribution and the Riemannian metri
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