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Titlebook: Dynamics and Control of Trajectory Tubes; Theory and Computati Alexander B. Kurzhanski,Pravin Varaiya Book 2014 Springer International Publ

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https://doi.org/10.1007/978-3-319-10277-1ellipsoidal calculus; feedback control; reachability; state estimation; trajectory tubes; uncertain input
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Breeding for morphological traitsforthcoming chapters. It introduces problems of reachability and optimal target control under constraints, as well as time-optimal control. Indicated are solution approaches to open-loop control that involve the moment problem, the maximum principle, and the duality methods of convex analysis.
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The Kinematics of Trapezium-Type Systemss and systems subjected to non-ellipsoidal constraints. The key element for these issues lies in the Comparison Principle for HJB equations which indicates schemes of approximating their complicated solutions by arrays of simpler procedures. Given along these lines is a deductive derivation of ellip
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Wide Double Stars with Common Proper Motionapproaches based on the Hamiltonian formalism and a related Comparison Principle. Further emphasis is on the dynamics of linear systems under hard bounds on the controls and system trajectories. A detailed solution is presented based on ellipsoidal approximations of bounded trajectory tubes.
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