This article is cited in 2 papers

Brief communications

Control of functional differential system in conditions of impulse disturbances

V. P. Maksimov

Chair of Information Systems and Mathematical Methods in Economics, Perm State University, 15 Bukirev str., Perm, 614990 Russia

Abstract: We consider a control problem for linear functional differential system with time delay of the general form. The purpose of controlling is prescribed with use of a finite set of linear functionals. The number of these functionals is independent of the dimension of the system. The system is acting under impulse disturbances which result in trajectory jumps with unknown previously instants of time and values. To solve the control problem, we propose a construction of control actions that contains both program and jumps-positional components. Conditions for the solvability of the stated control problem are formulated.

Keywords: functional differential equations, impulse systems, control problems.

UDC: 517.929

Received: 27.02.2013

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2013, 57:9, 58–61

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