一类Lurie时滞系统绝对稳定的新判据

New Absolute Stability Criteria for a Class of Time-Delay Lurie Systems

考虑了一类Lurie时滞系统的绝对稳定问题,通过构造适当的Lyapunov函数和引入一些松弛矩阵,得到了LMI形式新的时滞依赖绝对稳定性判据.最后数值例子结果验证了方法的有效性和较弱的保守性.

In the paper,the absolute stability problem is investigated for a class of time-delay Lurie systems.By constructing Lyapunov functionals and introducing some slack matrices,the new delay-dependent absolute stability criterion is derived and formulated in the form of linear matrix inequalities（LMIs）.Finally,a numerical example is given to illustrate the effectiveness and less conservativeness of the proposed method.