Relative controllability of fractional stochastic dynamical systems with multiple delays in control

Toufik Guendouzi; Iqbal Hamada

doi:10.26637/mjm101/009

Abstract

This paper is concerned with the global relative controllability of fractional stochastic dynamical systems with multiple delays in control for finite dimensional spaces. Sufficient conditions for controllability results are obtained using Banach fixed point theorem and the controllability Grammian matrix which is defined by the Mittag-Leffler matrix function. An example is provided to illustrate the theory.

Keywords:

Control delay, Relative controllability, Stochastic systems, Fractional differential equations, Mittag-Leffler matrix function

Mathematics Subject Classification:

34G20, 34G60, 34A37

Authors Imprint References Funding Related Articles Downloads

Toufik Guendouzi Laboratory of Stochastic Models, Statistic and Applications, Tahar Moulay University, 20000 Saida, Algeria.
Iqbal Hamada Laboratory of Stochastic Models, Statistic and Applications, Tahar Moulay University, 20000 Saida, Algeria.

Pages: 86-97
Date Published: 01-01-2013
Vol. 1 No. 01 (2013): Malaya Journal of Matematik (MJM)

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