Stability analysis of interval time-varying delayed neural networks including neutral time-delay and leakage delay

R. Manivannan, R. Samidurai, Jinde Cao, Ahmed Alsaedi and Fuad E. Alsaadi

Chaos, Solitons & Fractals, 2018, vol. 114, issue C, 433-445

Abstract: This paper addresses an improved stability criterion for an interval time-delayed neural networks (NNs) including neutral delay and leakage delay. By proposing a suitable Lyapunov–Krasovskii functionals (LKFs) together with the Auxiliary function-based integral inequality (AFBII) and reciprocally convex approach (RCC) approach. The major purpose of this research is put forward to the consideration of inequality techniques together with a suitable LKFs, and mixed with the Leibniz–Newton formula within the structure of linear matrix inequalities (LMIs). It is amazing that, the leakage delay has a disrupting impact on the stability behaviour of such system and they cannot be neglected. Finally, numerical examples have been demonstrated to showing feasibility and applicability of the developed technique. In addition, the developed stability criteria tested for feasibility of the benchmark problem to explore the real-world application in the sense of discrete time-delay and leakage delay as a process variable in the system model.

Keywords: Stability; neural network; Leakage delay; Neutral delay; Reciprocally convex approach; Quadruple-tank process system (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (7)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:114:y:2018:i:c:p:433-445

DOI: 10.1016/j.chaos.2018.07.041

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