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Journal of Systems Science and Complexity

, Volume 32, Issue 2, pp 479–495 | Cite as

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

  • Ngoc Pham Huu AnhEmail author
  • Tran Thai Bao
  • Tinh Cao Thanh
  • Huy Nguyen Dinh
Article
  • 20 Downloads

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.

Keywords

Exponential stability linear functional differential equations perturbation 

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Copyright information

© The Editorial Office of JSSC & Springer-Verlag GmbH Germany 2019

Authors and Affiliations

  • Ngoc Pham Huu Anh
    • 1
    Email author
  • Tran Thai Bao
    • 2
  • Tinh Cao Thanh
    • 3
  • Huy Nguyen Dinh
    • 4
  1. 1.Department of MathematicsVietnam National University-HCMC, International University, Thu Duc DistrictSaigonVietnam
  2. 2.Faculty of Information SystemsVietnam National University-HCMC, University of Information Technology, Thu Duc districtSaigonVietnam
  3. 3.Department of MathematicsVietnam National University-HCMC, University of Information Technology, Thu Duc districtSaigonVietnam
  4. 4.Division of Applied Mathematics, Faculty of Applied SciencesVietnam National University-HCMC, Ho Chi Minh city University of Technology, Thu Duc districtSaigonVietnam

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