Abstract
This paper investigates two analytic methods for neural networks with time-varying delay. One is the sampled-data synchronization analysis for neural networks with time-varying delay and the other is the extended dissipative analysis for the networks with external disturbance. By constructing Lyapunov-Karasovskii functionals, looped-functionals and utilizing some mathematical techniques, a synchronization condition for neural networks with time-varying delay under the sampled-data control scheme is obtained. Improved synchronization results are proposed by adding augmented forms of functional and zero equality and applying an improved integral inequality to the previous result. And, based on the proposed criteria, the extended dissipative analysis which covers the concept of the H∞ performance, L2-L∞ performance, passivity, and dissipativity is studied. Finally, two numerical examples are utilized to show the superiority and effectiveness of the proposed results.
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