Lyapunov-Based Controller for a Class of Stochastic Chaotic Systems. (9th December 2014)

• Record Type: Journal Article
• Authors: Shokouhi-Nejad, Hossein; Rikhtehgar Ghiasi, Amir; Pezeshki, Saeed
• Other Names: Yi Zhang Academic Editor.
• Is Part Of: Applied computational intelligence and soft computing. Volume 2014(2014)
• Publication Date: 2014-12-09
• Subjects: Computational intelligence -- Periodicals; Soft computing -- Periodicals; 006.305
• DOI: 10.1155/2014/613463
• Languages: English
• ISSNs: 1687-9724

Abstract

Abstract : This study presents a general control law based on Lyapunov's direct method for a group of well-known stochastic chaotic systems. Since real chaotic systems have undesired random-like behaviors which have also been deteriorated by environmental noise, chaotic systems are modeled by exciting a deterministic chaotic system with a white noise obtained from derivative of Wiener process which eventually generates an Ito differential equation. Proposed controller not only can asymptotically stabilize these systems in mean-square sense against their undesired intrinsic properties, but also exhibits good transient response. Simulation results highlight effectiveness and feasibility of proposed controller in outperforming stochastic chaotic systems.