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Observer Design of Switched Positive Systems with Time-Varying Delays

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Abstract

This paper is concerned with the design of positive observers for switched positive linear systems with time-varying delays. Attention is focused on designing the positive observers such that the error switched systems are exponentially stable. Based on the average dwell time approach, sufficient conditions, which ensure the estimated error exponentially converges to zero, are formulated in a set of linear matrix inequalities (LMIs). Finally, an illustrative example is given to show the efficiency of the proposed method.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China under Grant Nos. 60974027 and 61273120.

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Authors and Affiliations

  1. School of Automation, Nanjing University of Science and Technology, Nanjing, 210094, People’s Republic of China

    Mei Xiang & Zhengrong Xiang

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  1. Mei Xiang
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  2. Zhengrong Xiang
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Correspondence to Zhengrong Xiang.

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Xiang, M., Xiang, Z. Observer Design of Switched Positive Systems with Time-Varying Delays. Circuits Syst Signal Process 32, 2171–2184 (2013). https://doi.org/10.1007/s00034-013-9557-8

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