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Stability analysis of switched positive nonlinear systems: an invariant ray approach

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Abstract

This paper addresses the stability problem associated with a class of switched positive nonlinear systems in which each vector field is homogeneous, cooperative, and irreducible. Instead of using the Lyapunov function approach, we fully establish the invariant ray analysis method to establish several stability conditions that depend on the states, rays, and/or times. We illustrate the efficiency of our proposed approach using the example of a chemical reaction.

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Acknowledgements

This work was supported by National Natural Science Foundation of China (Grant Nos. 61622304, 61773201), Natural Science Foundation of Jiangsu Province (Grant No. BK20160035), and Fundamental Research Funds for the Central Universities (Grant Nos. NE2014202, NE2015002).

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Authors and Affiliations

  1. College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, 211106, China

    Hao Yang & Bin Jiang

  2. School of Control Science and Engineering, Dalian University of Technology, Dalian, 116024, China

    Xudong Zhao

Authors
  1. Hao Yang
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  2. Xudong Zhao
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  3. Bin Jiang
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Correspondence to Hao Yang.

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Yang, H., Zhao, X. & Jiang, B. Stability analysis of switched positive nonlinear systems: an invariant ray approach. Sci. China Inf. Sci. 62, 212206 (2019). https://doi.org/10.1007/s11432-018-9897-8

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  • DOI: https://doi.org/10.1007/s11432-018-9897-8

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