Exponential Passification of Markovian Jump Nonlinear Systems with Partially Known Transition Rates. (14th March 2012)

• Record Type: Journal Article
• Authors: Luo, Mengzhuo; Zhong, Shouming
• Other Names: Hu Ying U. Academic Editor.
• Is Part Of: Journal of applied mathematics. Volume 2012(2012)
• Publication Date: 2012-03-14
• Subjects: Mathematics -- Periodicals; 519.05
• DOI: 10.1155/2012/950590
• Languages: English
• ISSNs: 1110-757X

Abstract

Abstract : The problems of delay-dependent exponential passivity analysis and exponential passification of uncertain Markovian jump systems (MJSs) with partially known transition rates are investigated. In the deterministic model, the time-varying delay is in a given range and the uncertainties are assumed to be norm bounded. With constructing appropriate Lyapunov-Krasovskii functional (LKF) combining with Jensen's inequality and the free-weighting matrix method, delay-dependent exponential passification conditions are obtained in terms of linear matrix inequalities (LMI). Based on the condition, desired state-feedback controllers are designed, which guarantee that the closed-loop MJS is exponentially passive. Finally, a numerical example is given to illustrate the effectiveness of the proposed approach.