Titlebook: Optimal Impulsive Control; The Extension Approa Aram Arutyunov,Dmitry Karamzin,Fernando Lobo Perei Book 2019 Springer Nature Switzerland AG

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Aram Arutyunov,Dmitry Karamzin,Fernando Lobo Pereiraof ocean acoustic channel on sonar system in mathematics.Des.This book introduces sonar system and acoustic channel model, average energy channel, coherent multipath channel, the theoretical basis for the stochastic time-varying space-variant channel, slowly time-varying coherent multipath channel,

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Impulsive Control Problems Under the Frobenius Condition, ambiguity in the choice of the state trajectory, since it is assumed that the state trajectory may exhibit jumps. Therefore, generally speaking, different types of integral w.r.t. measure will lead us to different solution concepts. Herein, we have settled on the type of integration which implies t

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Impulsive Control Problems Without the Frobenius Condition,. It follows that the violation of the Frobenius condition implies that the constructed extension of the problem is not well posed, since the vector-valued Borel measure in this case may generate an entire integral funnel of various trajectories corresponding to the given dynamical control system wi

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Impulsive Control Problems with State Constraints,hat a certain closed subset of the state space is given while feasible arcs are not permitted to take values outside of it. This set is defined functionally in our considerations. It should be noted that the state constraints are in great demand in various engineering applications. For example, an i

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