Dissipativity analysis for nonlinear delayed differential systems with three kinds of time-varying delays

This work investigates the problems of global exponential stability analysis and dissipativity analysis for a class of nonlinear delayed differential systems concurrently affected by time-varying distributed, leakage and transmission delays. Sufficient conditions to guarantee that the considered nonlinear delayed differential systems are globally exponentially stable with dissipative level are presented by proposing a direct method based on system solutions. The conditions given in this paper consist of only several simple inequalities which are easily realised by applying the software tool YALMIP. The method proposed in this paper is quite simple and avoids the construction of Lyapunov-Krasovskii functionals, thus significantly reducing the computational effort. Finally, two simulation examples illustrate the applicability of the theoretical results.