关键词: 指数稳定性 线性矩阵不等式（LMI） 中立型系统 收敛率 Lyapunov方法

Abstract:

By using the Lyapunov method for linear neutral differential systems with time-varying delays, the problems of determining the global exponential stab ility and estimating the exponential convergence rate are investigated in this paper. Two useful criteria of global exponential stability for the systems are derived. These stability criteria are formulated as linear matrix inequalities （LMIs） which can be easily validated. Numerical examples are give en to illustrate the effectiveness of the proposed method.

Key words: （linear matrix inequality, exponential stability;neutral system, convergence rate, Lyap unov method,）