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

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G. N. Salukvadze,G. Sh. Javakhishvili We then deal with the evolution in time of state-constrained forward and backward reachability tubes also known as “viability tubes.” The backward tubes are then used to design feedback controls under state constraints that may also appear in the form of obstacles to be avoided by system trajectori

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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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The Search for Wide Pairs Among Nearby Starsl application of previously described techniques to such systems. The chapter thus gives a concise presentation of solution techniques for the problem of . based on available measurements under set-membership uncertainty.

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Dynamics and Control Under State Constraints,approaches 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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Trajectory Tubes State-Constrained Feedback Control, We then deal with the evolution in time of state-constrained forward and backward reachability tubes also known as “viability tubes.” The backward tubes are then used to design feedback controls under state constraints that may also appear in the form of obstacles to be avoided by system trajectories.

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