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Stability of impulsive hopfield neural networks with Markovian switching and time-varying delays

Ramachandran Raja;  Rathinasamy Sakthivel;  Selvaraj Marshal Anthoni;  Hyunsoo Kim — 2011

International Journal of Applied Mathematics and Computer Science

The paper is concerned with stability analysis for a class of impulsive Hopfield neural networks with Markovian jumping parameters and time-varying delays. The jumping parameters considered here are generated from a continuous-time discrete-state homogenous Markov process. By employing a Lyapunov functional approach, new delay-dependent stochastic stability criteria are obtained in terms of linear matrix inequalities (LMIs). The proposed criteria can be easily checked by using some standard numerical...

Passivity analysis of uncertain stochastic neural network with leakage and distributed delays under impulsive perturbations

Senthil Raj;  Raja Ramachandran;  Samidurai Rajendiran;  Jinde Cao;  Xiaodi Li — 2018

Kybernetika

In this paper, the problem of passivity analysis for a class of uncertain stochastic neural networks with mixed delays and impulsive control is investigated. The mixed delays include constant delay in the leakage term, discrete and distributed delays. The discrete delays are assumed to be time-varying and belong to a given interval, which means that the lower and upper bounds of interval time-varying delays are available. By using Lyapunov stability theory, stochastic analysis, linear matrix inequality...

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