Novel results on passivity and exponential passivity for multiple discrete delayed neutral-type neural networks with leakage and distributed time-delays

C. Maharajan, R. Raja, Jinde Cao, G. Rajchakit and Ahmed Alsaedi

Chaos, Solitons & Fractals, 2018, vol. 115, issue C, 268-282

Abstract: This paper investigates the problem of passivity and exponential passivity for neutral-type neural networks (NNNs) with leakage, multiple discrete delay and distributed time-delay, via some novel sufficient conditions. Based on an appropriate Lyapunov-Krasovskii functional (LKF), free weighting matrix approach and some inequality techniques, enhanced passivity criteria for the concerned neural networks is established in the form of Linear matrix inequalities (LMIs). The feasibility of the attained passivity and exponential passivity criterions easily verified by the aid of LMI control toolbox in MATLAB software. Furthermore, we have compared our method with previous one in the existing literature, which depicts its less conservativeness. To substantiate the superiority and effectiveness of our analytical design, two examples with their numerical simulations are provided.

Keywords: Neural networks; Lyapunov-Krasovskii functional; Passivity; Neutral-type neural networks; Linear matrix inequality; Exponential passivity; Distributed time-delays; Multiple discrete delays; Neutral delays; Leakage delays (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (9)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:115:y:2018:i:c:p:268-282

DOI: 10.1016/j.chaos.2018.07.008

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