Memory feedback controller design for stochastic Markov jump distributed delay systems with input saturation and partially known transition rates. (February 2015)

• Record Type: Journal Article
• Authors: Zhao, Junjie; Wang, Jing; Park, Ju H.; Shen, Hao
• Is Part Of: Nonlinear analysis. Volume 15(2015)
• Page Start: 52
• Page End: 62
• Publication Date: 2015-02
• Subjects: Stochastic Markov jump systems -- Input saturation -- State memory feedback -- Partially known transition rates; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nahs.2014.07.002
• Languages: English
• ISSNs: 1751-570X

Abstract

Abstract: This paper considers the problem of stabilization for a class of stochastic Markov jump distributed delay systems with partially known transition rates subject to saturating actuators. By employing local sector conditions and an appropriate Lyapunov function, a state memory feedback controller is designed to guarantee that the resulted closed-loop constrained systems are mean-square stochastic asymptotically stable. Some sufficient conditions for the solution to this problem are derived in terms of linear matrix inequalities. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed method.