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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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Richard G. Jefferson,Michael B. Usherschemes, The application of impulse controls to the switching process is described. Examples of various difficulty are worked out. The chapter is to demonstrate applicability of methods of this book to hybrid systems.
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G. N. Salukvadze,G. Sh. Javakhishvilir, planar Newtonian motions and calming down a chain of springs. Special sections are devoted to relevant computational formulas and high-dimensional systems. Also discussed are possible degeneracy effects in computation and the means of their avoidance.
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Wide Double Stars with Common Proper Motionnctions and discontinuous trajectories in the state space. Such feedback controls are not physically realizable. The second section thus treats the problem of feedback control under double constraints: both hard bounds and integral bounds. Such solutions are then used for approximating impulse controls by bounded “ordinary” functions.
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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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The Kinematics of Trapezium-Type Systems partial observations corrupted by unknown but bounded noise in the system and measurement inputs (in contrast with stochastic noise). The problem is treated in both continuous and discrete time. Comparison with stochastic filtering is also discussed.
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