linear matrix inequality

In this article, we investigate the problem of finite-time passivity for the complex-valued neural networks (CVNNs) with multiple time-varying delays.  To begin, many definitions relevant to the finite-time passivity of CVNNs are provided; then the suitable control inputs are designed to guarantee the class of CVNNs are finite-time passive.  In the meantime, some sufficient conditions of linear matrix inequalities (LMIs) are derived by using inequalities techniques and Lyapunov stability theory.  Finally, a numerical example is presented to illustrate the usefulness of the theoretical resul

This paper addresses the consensus control design for multi-agent systems with input time delay, which is unknown but bounded.  Descriptor transformation is used to obtain a model without delay for closed-loop individual agent.  The sufficient conditions for global consensus under directed communication topology are identified using Lyapunov--Krasovskii functional.  To analyze the stability of the networked multi-agent system based on the relationship between the agents the Lyapunov function method using corresponding comparison system is used.  The effectiveness of the proposed control des