Global relative controllability of fractional stochastic dynamical systems with distributed delays in control

Toufik Guendouzi; Iqbal Hamada

doi:10.5269/bspm.v32i2.20583

Toufik Guendouzi Tahar Moulay University Laboratory of Stochastic Models, Statistic and Applications
Iqbal Hamada Tahar Moulay University Laboratory of Stochastic Models, Statistic and Applications

DOI: https://doi.org/10.5269/bspm.v32i2.20583

Keywords: Distributed delays, Relative controllability, Stochastic systems, Fractional differential equations, Mittag-Leffler function

Abstract

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

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