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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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A Geometric Approach to the Optimal Control of Nonholonomic Mechanical Systems,ad to the correct dynamics. Application of the theory is demonstrated through several examples including optimal control of the Chaplygin sleigh, a continuously variable transmission, and a problem of motion planning for obstacle avoidance.
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Second-Order Necessary Optimality Conditions for the Mayer Problem Subject to a General Control Con embedding of the problem into a class of infinite dimensional mathematical programming type problems. As an application we derive new second-order necessary conditions for a free end-time optimal control problem in the case when an optimal control is piecewise Lipschitz.
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Book 2015ch fields, including advanced engineering design, economics and the medical sciences. However, since its emergence, there has been a need to rethink and extend fields such as calculus of variations, differential geometry and nonsmooth analysis, which are closely tied to research on applications. Tod
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Signals and Communication Technologyation of this metric due to a standard perturbation in space mechanics, the lunar attraction. Using Hamiltonian formalism, we describe the effects of the perturbation on the orbital transfers and the deformation of the conjugate and cut loci of the original metric.
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https://doi.org/10.1007/978-3-540-72613-5iogenic signaling or tumor immune system interactions are included in the model, singular controls that administer therapeutic agents at less than maximum dose become optimal. Their relations to metronomic dosing are discussed.
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