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Dissipativity Analysis for Stochastic Memristive Neural Networks With Time-Varying Delays: A Discrete-Time Case

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In this paper, the dissipativity problem of discrete-time memristive neural networks (DMNNs) with time-varying delays and stochastic perturbation is investigated. A class of logical switched functions are put forward to… Click to show full abstract

In this paper, the dissipativity problem of discrete-time memristive neural networks (DMNNs) with time-varying delays and stochastic perturbation is investigated. A class of logical switched functions are put forward to reflect the memristor-based switched property of connection weights, and the DMNNs are then recast into a tractable model. Based on the tractable model, the robust analysis method and Refined Jensen-based inequalities are applied to establish some sufficient conditions that ensure the $(\mathcal {Q},\mathcal {S},\mathcal {R})-\gamma -\text {disspativity}$ of DMNNs. Two numerical examples are presented to illustrate the effectiveness of the obtained results.

Keywords: discrete time; neural networks; varying delays; time varying; memristive neural; time

Journal Title: IEEE Transactions on Neural Networks and Learning Systems
Year Published: 2018

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