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JOURNALS // Upravlenie Bol'shimi Sistemami // Archive

UBS, 2010 Issue 31, Pages 35–48 (Mi ubs450)

Mathematical Control Theory

Gradient Algorithms for Optimal Impulsive Control

E. Goncharova, M. Staritsyn

Institute for System Dynamics and Control Theory, Siberian Branch of RAS

Abstract: We consider an optimal control problem for a measure-driven dynamic system under constraint on the total variation of a control measure. Parent algorithms based on weak variation of control are employed to solve a reduced optimal control problem with bounded controls. By applying discontinuous time reparameterization technique we translate the parent methods to formulate new algorithms for optimal impulsive control. The methods' properties are investigated. An example is given.

Keywords: differential equations with measures, impulsive control, discontinuous time reparameterization, algorithms for optimal control.

UDC: 517.977.58
BBK: 22.18



© Steklov Math. Inst. of RAS, 2026