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Novel Criteria for Exponential Stability of Linear Non-Autonomous Functional Differential Equations

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Abstract

General linear non-autonomous functional differential equations are considered. Explicit criteria for exponential stability are given. Furthermore, the authors present an explicit robust stability bound for systems subject to time-varying perturbations. Two examples are given to illustrate the obtained results.

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Authors and Affiliations

  1. Department of Mathematics, Vietnam National University-HCMC, International University, Thu Duc District, Saigon, Vietnam

    Ngoc Pham Huu Anh

  2. Faculty of Information Systems, Vietnam National University-HCMC, University of Information Technology, Thu Duc district, Saigon, Vietnam

    Tran Thai Bao

  3. Department of Mathematics, Vietnam National University-HCMC, University of Information Technology, Thu Duc district, Saigon, Vietnam

    Tinh Cao Thanh

  4. Division of Applied Mathematics, Faculty of Applied Sciences, Vietnam National University-HCMC, Ho Chi Minh city University of Technology, Thu Duc district, Saigon, Vietnam

    Huy Nguyen Dinh

Authors
  1. Ngoc Pham Huu Anh
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  2. Tran Thai Bao
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  3. Tinh Cao Thanh
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  4. Huy Nguyen Dinh
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Corresponding author

Correspondence to Ngoc Pham Huu Anh.

Additional information

Dedicated to Professor Nguyen Khoa Son on the occasion of his 70th birthday. This work was supported by Vietnam National University Ho Chi Minh City (VNU-HCM) under Grant No. C2017-26-02.

This paper was recommended for publication by Editor SUN Jian.

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Pham Huu Anh, N., Thai Bao, T., Cao Thanh, T. et al. Novel Criteria for Exponential Stability of Linear Non-Autonomous Functional Differential Equations. J Syst Sci Complex 32, 479–495 (2019). https://doi.org/10.1007/s11424-018-7156-2

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  • DOI: https://doi.org/10.1007/s11424-018-7156-2

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