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

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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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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Keywords

  • positive systems
  • switched nonlinear systems
  • stability