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Stability Analysis of Switched Positive Systems with an Impulse Interval

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Abstract

The stability analysis issue of switched positive systems (SPSs) with an impulse interval is discussed in this paper for the first time. All subsystems are allowed to be unstable. Unlike previous studies, the impulse is restricted to an interval, that is, the impulse interval. By dividing the state space on the nonnegative orthant and establishing multiple linear copositive Lyapunov functions, sufficient linear programming conditions are obtained to ensure that SPSs with an impulse interval are asymptotically stable. A hysteresis state-dependent switching law is designed to prevent the chattering behavior caused by frequent switching. Finally, two numerical examples are given to validate the theoretical findings.

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Acknowledgements

The work was supported by the Natural Science Foundation of Hebei Province, F2017202009 and Innovative Capability Improvement Program of Hebei Province, 18961604H.

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Authors and Affiliations

  1. School of Artificial Intelligence, Hebei University of Technology, Tianjin, China

    Jiao Liu, Kai Yin, Dedong Yang & Hongchao Li

  2. Control Engineering Technology Research Center, Hebei University of Technology, Tianjin, China

    Jiao Liu, Kai Yin, Dedong Yang & Hongchao Li

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  1. Jiao Liu
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  2. Kai Yin
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  3. Dedong Yang
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  4. Hongchao Li
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Correspondence to Jiao Liu.

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Liu, J., Yin, K., Yang, D. et al. Stability Analysis of Switched Positive Systems with an Impulse Interval. Circuits Syst Signal Process 40, 1005–1020 (2021). https://doi.org/10.1007/s00034-020-01495-7

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  • DOI: https://doi.org/10.1007/s00034-020-01495-7

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