Analysis of Robust Stability for a Class of Stochastic Systems via Output Feedback: The LMI Approach. (12th November 2013)

• Record Type: Journal Article
• Authors: Cong, Xin-rong; Li, Long-suo
• Other Names: Ding Shusen Academic Editor.
• Is Part Of: Journal of function spaces and applications. Volume 2013(2013)
• Publication Date: 2013-11-12
• Subjects: Function spaces -- Periodicals; 515.73
• DOI: 10.1155/2013/873578
• Languages: English
• ISSNs: 0972-6802

Abstract

Abstract : This paper investigates the robust stability for a class of stochastic systems with both state and control inputs. The problem of the robust stability is solved via static output feedback, and we convert the problem to a constrained convex optimization problem involving linear matrix inequality (LMI). We show how the proposed linear matrix inequality framework can be used to select a quadratic Lyapunov function. The control laws can be produced by assuming the stability of the systems. We verify that all controllers can robustly stabilize the corresponding system. Further, the numerical simulation results verify the theoretical analysis results.