

Problems of Mathematical Control Theory
October 2, 2015 15:00, Moscow, Steklov Mathematical Institute, Room 430 (8 Gubkina)






Ellipsoidal methods in solving reachability and control synthesis problems for timelag systems
I. V. Vostrikov^{} ^{} Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics

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Abstract:
This report deals with reachability and control synthesis problems for linear controlled timelag systems. Their feature is infinitedimensional nature of described processes. There are considered various value functionals used in describing the reachability and solvability sets for the linear controlled timelag system. The appropriate Hamilton–Jacobi–Bellman type equations are derived.
Exhaustive internal ellipsoidal approximations of reach sets in finite and infinitedimensional spaces, external ellipsoidal approximations of reach sets in finitedimensional space are derived. A regularization of the control synthesis problem is considered. The online calculation scheme of ellipsoidal synthesis constructing is described using the approximation of the origin system with the method of lines.

