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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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Authors and Affiliations

  1. College of Information Science and Engineering, Northeastern University, Shenyang, 110819, China

    Jiyang Wang, Wenhai Qi & Xianwen Gao

Authors
  1. Jiyang Wang
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  2. Wenhai Qi
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  3. Xianwen Gao
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Corresponding author

Correspondence to Wenhai Qi.

Additional information

This research was supported by the Key Program of National Natural Science Foundation of China under Grant Nos. 61573088 and 61433004.

This paper was recommended for publication by Editor SUN Jian.

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Wang, J., Qi, W. & Gao, X. Positive observer design for positive Markovian jump systems with partly known transition rates. J Syst Sci Complex 30, 307–315 (2017). https://doi.org/10.1007/s11424-017-5053-8

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  • DOI: https://doi.org/10.1007/s11424-017-5053-8

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