Dissipativity Analysis for Neural Networks With Time-Varying Delays Based on Augmented Second-Order Delay-Product-Type Functionals

Abstract

This paper investigates the problem of dissipativity of a class of neural networks with timevarying delays. First, a suitable augmented Lyapunov functional containing the second-order delay-product term is constructed. Based on the integral inequality method and the recently developed relaxed quadratic function negative-determination lemma, a strictly (Q, S, Z)-γ-dissipative criterion is derived in forms of linear matrix inequality (LMI). Finally, a numerical example is used to verify the advantages of the proposed method.

Keywords

• Neural networks
• delay-product-type Lyapunov-Krasovskii functional
• dissipativity
• time-varying delays