Finite-time stability of a class of non-autonomous neural networks with heterogeneous proportional delays

Le Van Hien and Doan Thai Son

Applied Mathematics and Computation, 2015, vol. 251, issue C, 14-23

Abstract: In this paper, the problem of finite-time stability analysis for a class of non-autonomous neural networks with heterogeneous proportional delays is considered. By introducing a novel constructive approach, we derive new explicit conditions in terms of matrix inequalities ensuring that the state trajectories of the system do not exceed a certain threshold over a pre-specified finite time interval. As a result, we also obtain conditions for the power-rate global stability of the system. Numerical examples are given to demonstrate the effectiveness and less restrictiveness of the results obtained in this paper.

Keywords: Finite-time stability; Non-autonomous systems; Proportional delays; M-matrix (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:251:y:2015:i:c:p:14-23

DOI: 10.1016/j.amc.2014.11.044

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