Controllability of stochastic nonlinear oscillating delay systems driven by the Rosenblatt distribution
T. Sathiyaraj, JinRong Wang, Donal O’Regan
Abstract
Abstract In this paper, we study the controllability of second-order nonlinear stochastic delay systems driven by the Rosenblatt distributions in finite dimensional spaces. A set of sufficient conditions are established for controllability of nonlinear stochastic delay systems using fixed point theory, delayed sine and cosine matrices and delayed Grammian matrices. Furthermore, controllability results for second-order stochastic delay systems driven by Rosenblatt distributions via the representation of solution by delayed sine and cosine functions are presented. Finally, our theoretical results are illustrated through numerical simulation.
Topics & Concepts
ControllabilityMathematicsNonlinear systemSineControl theory (sociology)Representation (politics)Applied mathematicsMathematical analysisComputer scienceControl (management)PhysicsLawPolitical scienceGeometryPoliticsArtificial intelligenceQuantum mechanicsNonlinear Differential Equations AnalysisMatrix Theory and AlgorithmsFractional Differential Equations Solutions