On a generalization of the impulsive control concept:Controlling system jumps

Aram Arutyunov; Dmitry Karamzin; Fernando L. Pereira

doi:10.3934/dcds.2011.29.403

Article Contents

2011, Volume 29, Issue 2: 403-415. Doi: 10.3934/dcds.2011.29.403

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On a generalization of the impulsive control concept: Controlling system jumps

1.
People's Friendship University of Russia, 117198, Moscow, Miklukho-Maklaya str. 6
2.
Faculdade de Engenharia da Universidade do Porto, DEEC, Rua Dr. Roberto Frias, s/n 4200-465 Porto

Received: July 31, 2009

Revised: February 28, 2010

Published: May 2011

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Abstract

This paper concerns the investigation of a general impulsive control problem. The considered impulsive processes are of non-standard type: control processes admit ordinary type controls as the impulse develops. New necessary conditions of optimality in the form of Pontryagin Maximum Principle are obtained. These conditions are applied to a model problem and are shown to yield useful information about optimal control modes.

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Mathematics Subject Classification: Primary: 49N25.

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References

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