Mean square exponential stability for stochastic memristor-based neural networks with leakage delay

Fen Wang and Yuanlong Chen

Chaos, Solitons & Fractals, 2021, vol. 146, issue C

Abstract: Under the framework of Filippov solutions, the issues of mean square exponential stability for stochastic memristor-based neural networks with leakage delay in this paper are studied. By constructing a suitable Lyapunov–Krasovskii functional and using Itô,s differential formula, Lemma of Schur complement and linear matrix inequality technique, the criteria are derived. The criteria are formulated in terms of a set of linear matrix inequalities (LMIs), which can be checked efficiently by use of the MATLAB toolbox. Compared with previous results, the activation function's boundedness, differentiability and monotonicity are not required. Finally, three numerical examples are provided to illustrate the effectiveness of the proposed results.

Keywords: Neural networks; Memristor; Stochastic; Mean square exponential stability; Leakage delay (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:146:y:2021:i:c:s0960077921001636

DOI: 10.1016/j.chaos.2021.110811

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