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Interval stability/stabilization of impulsive positive systems

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Abstract

This paper investigates the criterion of interval stability of impulsive positive systems with time-varying delay using the idea of generalized pole placement and equivalent systems. Unlike previous stability conditions, the interval stability criterion can more accurately determine the stability of impulsive positive systems. In simple terms, the new criterion can determine the system’s stability and convergence speed. Furthermore, a suitable sufficient condition of interval stabilization is obtained on the basis of the interval stability criterion, which can not only guarantee the stability of impulsive positive systems, but also modulate the state’s convergence rate to the required level. A new algorithm is developed with the interval stabilization approach to accurately control the target system’s convergence rate. Two instances are proposed to prove the superiority of the attainable interval stabilization criterion.

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Acknowledgements

This work was supported by National Natural Science Foundation of China (Grant Nos. 61973148, 62173174), Natural Science Foundation of Shandong Province for Key Projects (Grant No. ZR2020KA010), Support Plan for Outstanding Youth Innovation Team in Shandong Higher Education Institutions (Grant No. 2019KJI010), and Graduate Education High-Quality Curriculum Construction Project for Shandong Province (Grant No. SDYKC20185).

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Authors and Affiliations

  1. School of Mathematics Science, Liaocheng University, Liaocheng, 252000, China

    Xuezhen Wang, Huasheng Zhang, Jianwei Xia, Wei Sun & Guangming Zhuang

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  1. Xuezhen Wang
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  2. Huasheng Zhang
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  3. Jianwei Xia
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  4. Wei Sun
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  5. Guangming Zhuang
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Correspondence to Huasheng Zhang.

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Wang, X., Zhang, H., Xia, J. et al. Interval stability/stabilization of impulsive positive systems. Sci. China Inf. Sci. 66, 112203 (2023). https://doi.org/10.1007/s11432-021-3426-1

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  • DOI: https://doi.org/10.1007/s11432-021-3426-1

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