Sathiyaraj, T.; Balasubramaniam, P. The controllability of fractional damped stochastic integrodifferential systems. (English) Zbl 1370.93054 Asian J. Control 19, No. 4, 1455-1464 (2017). Summary: 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 Gramian matrix which is defined by Mittag-Leffler matrix function and fixed-point techniques. Finally, two numerical examples are given to verify the proposed conditions. Cited in 8 Documents MSC: 93B05 Controllability 93E03 Stochastic systems in control theory (general) 45K05 Integro-partial differential equations 34A08 Fractional ordinary differential equations 47H10 Fixed-point theorems Keywords:controllability; fractional derivatives; Mittag-Leffler function; stochastic integrodifferential systems PDFBibTeX XMLCite \textit{T. Sathiyaraj} and \textit{P. Balasubramaniam}, Asian J. Control 19, No. 4, 1455--1464 (2017; Zbl 1370.93054) Full Text: DOI