Journal of Applied Mathematics

Exponential Passification of Markovian Jump Nonlinear Systems with Partially Known Transition Rates

Mengzhuo Luo and Shouming Zhong

Full-text: Open access

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.

Article information

Source
J. Appl. Math., Volume 2012 (2012), Article ID 950590, 24 pages.

Dates
First available in Project Euclid: 14 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.jam/1355495078

Digital Object Identifier
doi:10.1155/2012/950590

Mathematical Reviews number (MathSciNet)
MR2898074

Zentralblatt MATH identifier
1244.93175

Citation

Luo, Mengzhuo; Zhong, Shouming. Exponential Passification of Markovian Jump Nonlinear Systems with Partially Known Transition Rates. J. Appl. Math. 2012 (2012), Article ID 950590, 24 pages. doi:10.1155/2012/950590. https://projecteuclid.org/euclid.jam/1355495078


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