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Global quasi-Mittag–Leffler stability of distributed-order BLDCM system

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Abstract

This paper addresses the issues of the global quasi-Mittag–Leffler stability of distributed-order BLDCM chaotic system. Based on proper Lyapunov function and applying the properties of distributed-order derivative, some new sufficient and necessary conditions are derived for the considered distributed-order system, which improve the earlier results and can derive some new criteria. The methods may be applied to posing the existence of sufficient and necessary conditions for the chaos control of Chen system, Lu system and so on. Suitable examples are presented to illustrate the effectiveness of the suggested scheme.

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Acknowledgements

Authors are thankful to the editor and anonymous reviewers for their careful reading and valuable comments that help to further improve the quality of the paper.

Funding

This work is supported by the National Natural Science Foundation of China (Grant no. 12162005) and the Scientific and Technological Base and Special Talents Project of Guangxi (Grant no. 2020AC19037).

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Authors and Affiliations

  1. College of Electronic Engineering, Guangxi Normal University, Guilin, 541004, China

    Xiaoyun Zhong & Yanli Zou

  2. The Galvin Center for Electricity Innovation, Illinois Institute of Technology, Chicago, IL, 60616, USA

    Mohammad Shahidehpour

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  1. Xiaoyun Zhong
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  2. Mohammad Shahidehpour
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  3. Yanli Zou
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Correspondence to Xiaoyun Zhong.

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Zhong, X., Shahidehpour, M. & Zou, Y. Global quasi-Mittag–Leffler stability of distributed-order BLDCM system. Nonlinear Dyn 108, 2405–2416 (2022). https://doi.org/10.1007/s11071-022-07304-x

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  • DOI: https://doi.org/10.1007/s11071-022-07304-x

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