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The International Conference on Natural Computation, Fuzzy Systems and Knowledge Discovery

ICNC-FSKD 2019: Advances in Natural Computation, Fuzzy Systems and Knowledge Discovery pp 206–213Cite as

Global Stability for a Coupled System of Fractional-Order Differential Equations with Discontinuous Terms on Network

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Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1074))

Abstract

In this paper, a coupled system of fractional-order differential equations with discontinuous terms is investigated. The new model is constructed to realize the discontinuous control aim via the threshold policy (TP). Firstly, equilibrium’s existence theorems for the new model are obtained by using the algebra theory and Filippov theory. Secondly, sufficient conditions to global Mittag-Leffler stability of the equilibrium are obtained based on the new model by applying graph theoretical approach of coupled systems and Laplace transform method.

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Author information

Authors and Affiliations

  1. Daqing Normal University, Daqing, 163712, People’s Republic of China

    Yang Gao

Authors
  1. Yang Gao
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Correspondence to Yang Gao .

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Editors and Affiliations

  1. School of Computer Science and Engineering, The University of Aizu, Aizu-Wakamatsu, Fukushima, Japan

    Yong Liu

  2. School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore, Singapore

    Lipo Wang

  3. Computer Science and Mathematics, University of Sao Paulo, Ribeirao Preto, Brazil

    Liang Zhao

  4. School of Information Engineering and Automation, Kunming University of Science and Technology, Kunming, China

    Zhengtao Yu

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Gao, Y. (2020). Global Stability for a Coupled System of Fractional-Order Differential Equations with Discontinuous Terms on Network. In: Liu, Y., Wang, L., Zhao, L., Yu, Z. (eds) Advances in Natural Computation, Fuzzy Systems and Knowledge Discovery. ICNC-FSKD 2019. Advances in Intelligent Systems and Computing, vol 1074. Springer, Cham. https://doi.org/10.1007/978-3-030-32456-8_22

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