Paper Title:
Stability Analysis for Discrete-Time Stochastic Neural Networks with Mixed Time Delays via Delay-Paritioning
  Abstract

This paper revisits the problem of stability analysis for discrete-time stochastic neural networks (DSNNs) with mixed time-varying delays in the state. Here the mixed time delays are assumed to be discrete and distributed time delays and the uncertainties are assumed to be time varying norm bounded parameter uncertainties. A new delay-dependent stability criterion is presented by constructing a novel Lyapunov-Krasovskii functional and utilizing the delay partitioning idea and free-weighting matrix approach, Which is less conservative than the existing ones. This criterion can be developed in the frame of convex optimization problems and then solved via standard numerical software. These conditions are formulated in the forms of linear matrix inequalities, which feasibility can be easily checked by using Matlab LMI Toolbox.

  Info
Periodical
Advanced Materials Research (Volumes 228-229)
Edited by
Quanjie Gao
Pages
464-470
DOI
10.4028/www.scientific.net/AMR.228-229.464
Citation
X. Zhou, S. M. Zhong, "Stability Analysis for Discrete-Time Stochastic Neural Networks with Mixed Time Delays via Delay-Paritioning", Advanced Materials Research, Vols. 228-229, pp. 464-470, 2011
Online since
April 2011
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$32.00
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