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The Controllability of Fractional Damped Stochastic Integrodifferential Systems
Author(s) -
Sathiyaraj T.,
Balasubramaniam P.
Publication year - 2017
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.1453
Subject(s) - controllability , mathematics , controllability gramian , nonlinear system , matrix (chemical analysis) , control theory (sociology) , function (biology) , gramian matrix , point (geometry) , mathematical analysis , computer science , control (management) , physics , materials science , eigenvalues and eigenvectors , quantum mechanics , artificial intelligence , evolutionary biology , composite material , biology , geometry
In this paper, the complete controllability is investigated for nonlinear fractional damped stochastic integrodifferential system in finite dimensional space. Using linear controllability theory, sufficient conditions ensuring complete controllability are derived based on controllability Grammian matrix which is defined by Mittag‐Leffler matrix function and fixed‐point techniques. Finally, two numerical examples are given to verify the proposed conditions.