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Explicit criteria for exponential stability of time-varying systems with infinite delay

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Abstract

Time-varying differential systems with infinite delay are considered. Explicit criteria for global exponential stability of linear (nonlinear) systems are presented. Furthermore, an explicit robust stability bound for linear systems subject to time-varying perturbations is given. The exponential stability criteria for nonlinear systems are used to investigate exponential stability of equilibria of neural networks. Three examples are given to illustrate obtained results. To the best of our knowledge, the results of this paper are new.

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Authors and Affiliations

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

    Pham Huu Anh Ngoc

  2. Department of Mathematics, Vietnam National University-HCMC, University of Information Technology, Thu Duc District, Saigon, Vietnam

    Cao Thanh Tinh

Authors
  1. Pham Huu Anh Ngoc
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  2. Cao Thanh Tinh
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Correspondence to Pham Huu Anh Ngoc.

Additional information

This research is supported by Vietnam National University Ho Chi Minh City (VNU-HCM) under the Grant Number C2015-26-06.

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Ngoc, P.H.A., Tinh, C.T. Explicit criteria for exponential stability of time-varying systems with infinite delay. Math. Control Signals Syst. 28, 4 (2016). https://doi.org/10.1007/s00498-015-0159-9

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  • DOI: https://doi.org/10.1007/s00498-015-0159-9

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