Extended dissipative conditions for memristive neural networks with multiple time delays

Jianying Xiao and Shouming Zhong

Applied Mathematics and Computation, 2018, vol. 323, issue C, 145-163

Abstract: This paper addresses the problem of extended dissipative conditions for memristive neural networks with multiple time delays. The multiple time delays contain discrete, distributed and leakage time-varying delays. Based on both nonsmooth analysis and Lyapunov method, the extended dissipative conditions are obtained by mainly applying differential inclusions, set-valued maps and some new integral inequalities. The extended dissipative conditions can be applied in judging l2−l∞ performance, H∞ action, passive behavior and dissipative dynamics in a unified framework. Finally, a numerical example is provided to demonstrate the effectiveness and less conservatism of the proposed criteria.

Keywords: Memristor; Neural networks; Extended dissipative conditions; Time delays (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:323:y:2018:i:c:p:145-163

DOI: 10.1016/j.amc.2017.11.053

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