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Peer-to-Peer Networking and Applications

, Volume 12, Issue 6, pp 1716–1725 | Cite as

The express decay effect of time delays for globally exponentially stable nonlinear stochastic systems

  • Kaili Sun
  • Song ZhuEmail author
Article
  • 76 Downloads
Part of the following topical collections:
  1. Special Issue on Networked Cyber-Physical Systems

Abstract

This paper considers the express decay effect of time-varying delays for nonlinear stochastic systems. Given a globally exponentially stable nonlinear stochastic system, we investigate upper bounds of the time delays that the perturbed stochastic system can withstand to sustain its previous stability or decay rate faster than before. The upper bounds of the time delays are obtained directly from the global exponential stability coefficients conditions and expressed by transcendental equations containing adjustable parameters. Finally, a numerical simulation is conducted to illustrate the effectiveness of the theoretical results.

Keywords

Global exponential stability Time delays Exponential decay Nonlinear stochastic system 

Notes

Acknowledgment

This work was supported by the National Natural Science Foundation of China under Grant 61873271 and the Fundamental Research Funds for the Central Universities 2018XK QYMS15.

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.School of MathematicsChina University of Mining and TechnologyXuzhouChina

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