Extended dissipative conditions for memristive neural networks with multiple time delays

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 l 2 − 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.