一类多变时滞线性系统的指数稳定性

Exponential Stability for a Class of Linear Systems with Multiple Time-Varying Delays

研究了一类多变时滞线性系统的指数稳定性,通过构造适当的Lyapunov泛涵,利用凸组合技术,得出系统多时滞相关的指数稳定的充分条件,并以线性矩阵不等式的形式给出.最后通过数值算例表明该方法的有效性.

The problem of exponential stability for a class of linear systems with multiple time varying delays is probed. Sufficient condition is obtained by constructing an appropriate Lyapunov functional combination technique. It is expressed in matrix inequalities. The condition is dependent on Finally, a numerical example is given to illustrate the validity of the new stability criteria and using the multiple convex delays