This article is cited in 7 papers

Nonlinear Systems

Optimal impulsive control problem with state and mixed constraints: the case of vector-valued measure

E. V. Goncharova, M. V. Staritsyn

Matrosov Institute for System Dynamics and Control Theory, Siberian Branch of the Russian Academy of Sciences, Irkutsk, Russia

Abstract: The paper is concerned with a nonlinear optimal impulsive control problem with trajectories of bounded variation. Vector Lebesgue–Stieltjes measures play the part of controls. Studied were state and mixed constraints in the conventional and fast times, as well as joint conditions for trajectory and impulsive control. A method of reduction to the classical problem of optimal control was developed relying on the discontinuous time reparameterization. The original and reduced problems were established to be equivalent.

Presented by the member of Editorial Board: E. Ya. Rubinovich

Received: 04.02.2013

 English version: Automation and Remote Control, 2015, 76:3, 377–384

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