一类Lur'e时滞系统新的时滞依赖绝对稳定判据

New delay-dependent absolute stability criteria for a class of time delay Lur′e systems

考虑了一类Lur'e时变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,以LMI形式得到了新的时滞依赖绝对稳定判据.最后,给出了2个数值例子,结果验证了方法的有效性和较弱的保守性.

The absolute stability problem is investigated for a class of time-varying delay Lur′e systems.By constructing Lyapunov functionals and introducing some slack matrices,the new delay-dependent absolute stability criterion is derived in terms of LMI.Finally,two numerical examples are given to illustrate the effectiveness and less conservativeness of the proposed method.