Positive Observer Design for Positive Markovian Jump Systems with Partly Known Transition Rates

WANG Jiyang,QI Wenhai,GAO Xianwen

Journal of Systems Science & Complexity ›› 2017, Vol. 30 ›› Issue (2) : 307-315.

PDF(317 KB)
PDF(317 KB)
Journal of Systems Science & Complexity ›› 2017, Vol. 30 ›› Issue (2) : 307-315. DOI: 10.1007/s11424-017-5053-8

Positive Observer Design for Positive Markovian Jump Systems with Partly Known Transition Rates

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Abstract

The paper is concerned with positive observer design for positive Markovian jump systems with partly known transition rates. By applying a linear co-positive type Lyapunov-Krasovskii function, a sufficient condition is proposed to ensure the stochastic stability of the error positive system and the existence of the positive observer, which is computed in linear programming. Finally, an example is given to demonstrate the validity of the main results.

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WANG Jiyang , QI Wenhai , GAO Xianwen. Positive Observer Design for Positive Markovian Jump Systems with Partly Known Transition Rates. Journal of Systems Science and Complexity, 2017, 30(2): 307-315 https://doi.org/10.1007/s11424-017-5053-8
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