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Estimations of the reachable sets and suffcient optimality conditions for nonlinear control systems with discontinuous trajectories


Reachable set estimations and non-local optimality conditions for nonlinear control dynamic systems with trajectories of bounded variation and impulsive control of type of a vector measure with a value into a convex cone will be presented; the results are based on applying of sets of strong monotone Lyapunov type functions that satisfy Hamilton-Jacobi quasivariational inequalities modified for the considering kind of problems.


trajectories of bounded variation; impulsive processes; Lyapunov type functions; Hamilton-Jacobi inequalities; reachable set; optimality conditions.

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