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Stabilization and controller design of positive switched linear systems with all subsystems unstable

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Abstract

In this letter, a mixed min-switching strategy for the stabilization of positive switched linear systems with unstable subsystems is proposed. With the aid of piecewise continuous switched linear time-varying Lyapunov function method, we give some novel criteria such that the system remains asymptotically stable and apply these results to the stability problem of a simple switched genetic regulatory network. The time-varying state feedback controller is developed to guarantee the system is asymptotically stable under the mixed min-switching signal. Furthermore, numerical examples illustrate that the theoretical results presented in this paper are better than existing ones.

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Acknowledgements

This work was supported by the Natural Science Foundation of Shandong Province (ZR2023MF057), Taishan Scholar Foundation of Shandong Province (ts20190938).

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Author notes

  1. Fanwei Meng and Yuangong Sun have equally contributed to this work.

Authors and Affiliations

  1. School of Mathematical Sciences, Qufu Normal University, Qufu, 273165, Shandong, China

    Yanhao Ju & Fanwei Meng

  2. School of Mathematical Sciences, University of Jinan, Jinan, 250022, Shandong, China

    Yuangong Sun

Authors
  1. Yanhao Ju
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  2. Fanwei Meng
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  3. Yuangong Sun
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Correspondence to Yuangong Sun.

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Ju, Y., Meng, F. & Sun, Y. Stabilization and controller design of positive switched linear systems with all subsystems unstable. J. Appl. Math. Comput. 70, 1263–1273 (2024). https://doi.org/10.1007/s12190-024-01999-4

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  • DOI: https://doi.org/10.1007/s12190-024-01999-4

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