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

Toufik Guendouzia,* and Iqbal Hamadab

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

Authors :

Toufik Guendouzi^a,* and Iqbal Hamada^b

Author Address :

^a,bLaboratory of Stochastic Models, Statistic and Applications, Tahar Moulay University, 20000 Saida, Algeria.

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 di.erential equations, Mittag-Leffler matrix function.

DOI :

Article Info :

Received : December 14, 2012; Accepted : January 05, 2013.