4.7 Article

A note on finite-time and fixed-time stability

Journal

NEURAL NETWORKS
Volume 81, Issue -, Pages 11-15

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.neunet.2016.04.011

Keywords

Delay systems; Time-varying systems; Neural networks; Synchronization; Consensus

Funding

  1. National Natural Science Foundation of China [61273211, 61273309, 61203149]
  2. Program for New Century Excellent Talents in University [NCET-13-0139]

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In this letter, by discussing (t) over dot (V) = mu(-1)(V), we provide a general approach to reveal the essence of finite-time stability and fixed-time convergence for the system (V) over dot (t) = mu(v(t)). Thus, we derive some conditions for finite-time and fixed-time convergence. As applications, we propose schemes to achieve finite-time and fixed-time synchronization in complex networked systems. (C) 2016 Elsevier Ltd. All rights reserved.

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