Relative controllability of a stochastic system using fractional delayed sine and cosine matrices
JinRong Wang, T. Sathiyaraj, Donal O’Regan
Abstract
In this paper, we study the relative controllability of a fractional stochastic system with pure delay in finite dimensional stochastic spaces. A set of sufficient conditions is obtained for relative exact controllability using fixed point theory, fractional calculus (including fractional delayed linear operators and Grammian matrices) and local assumptions on nonlinear terms. Finally, an example is given to illustrate our theory.
Topics & Concepts
ControllabilityMathematicsApplied mathematicsFractional calculusSineNonlinear systemMathematical analysisQuantum mechanicsGeometryPhysicsFixed Point Theorems AnalysisNonlinear Differential Equations AnalysisFractional Differential Equations Solutions