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

WANG Jiyang , QI Wenhai , GAO Xianwen

1. College of Information Science and Engineering, Northeastern University, Shenyang 110819, China.
• Online:2017-04-25 Published:2017-03-24

WANG Jiyang,QI Wenhai,GAO Xianwen. Positive Observer Design for Positive Markovian Jump Systems with Partly Known Transition Rates[J]. Journal of Systems Science and Complexity, 2017, 30(2): 307-315.

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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