Dissipativity analysis for Lur'e systems with two additive time-varying delays via some novel Lyapunov-Krasovskii functionals

The problem of dissipativity analysis is discussed for Lur'e systems with two additive time-varying delays (ATDs) in this paper. Based on the dynamic delay interval (DDI) method, some novel Lyapunov-Krasovskii functionals (LKFs) are constructed, in which part of Lyapunov matrices are requested to be positive definite. Then strictly dissipativity criteria of Lur'e systems with ATDs are presented in terms of linear matrix inequalities (LMIs). As by-products, the stability criteria of Lur'e systems with ATDs and the systems with ATDs are derived. Finally, several numerical examples are used to illustrate the effectiveness and superiority of these criteria.