Stochastic stability for distributed delay neural networks via augmented Lyapunov–Krasovskii functionals

Yonggang Chen, Zidong Wang, Yurong Liu and Fuad E. Alsaadi

Applied Mathematics and Computation, 2018, vol. 338, issue C, 869-881

Abstract: This paper is concerned with the analysis problem for the globally asymptotic stability of a class of stochastic neural networks with finite or infinite distributed delays. By using the delay decomposition idea, a novel augmented Lyapunov–Krasovskii functional containing double and triple integral terms is constructed, based on which and in combination with the Jensen integral inequalities, a less conservative stability condition is established for stochastic neural networks with infinite distributed delay by means of linear matrix inequalities. As for stochastic neural networks with finite distributed delay, the Wirtinger-based integral inequality is further introduced, together with the augmented Lyapunov–Krasovskii functional, to obtain a more effective stability condition. Finally, several numerical examples demonstrate that our proposed conditions improve typical existing ones.

Keywords: Stability analysis; Stochastic neural networks; Distributed delays; Augmented Lyapunov—Krasovskii functional (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:338:y:2018:i:c:p:869-881

DOI: 10.1016/j.amc.2018.05.059

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