不确定Lurie时滞系统绝对稳定性分析

Absolute stability analysis of uncertain Lurie systems with time-delay

研究了不确定Lurie时滞系统的绝对稳定问题。通过构造适当的Lyapunov泛函、引入一些自由权矩阵和充分考虑时滞导数的上限信息,得到了基于LMIs(线性矩阵不等式)形式的时滞相关绝对稳定性新准则,两个数值例子验证了所得结论的有效性和更弱保守性。

This paper investigated the absolute stability problem for uncertain time-delay Lurie systems.By constructing pro-per Lyapunov functional,introducing some free weight matrix and taking adequately into account the upper bound of time-delay difference,it derived the new delay-dependent absolute stability criterion in terms of LMIs.It presented two examples to illustrate the effectiveness and the reduced conservatism of the proposed results.