摘要
讨论了具有控制时滞的中立型Lurie控制系统的绝对稳定性问题,通过构造适当的Lya punov泛函,得到了系统绝对稳定的时滞相关条件与时滞无关条件,这些条件用线性矩阵不等式表示易于验证且保守性低,最后通过一个实例验证了所得结果的有效性。
This paper deals with the problem of the absolute stability of neutral type Lurie control systems with time-delay in control input. By constructing appropriate Lyapunov function, delay-dependent and delay-independent conditions for the absolute stability of such systems are obtained. The derived sufficient conditions are expressed in terms of linear matrix inequalities (LMI) to find the less conservative criteria, which can be easily validated by Matlab Toolbox. A numerical example is given to illustrate the effectiveness of the proposed method.
出处
《重庆工学院学报》
2004年第4期11-18,共8页
Journal of Chongqing Institute of Technology
基金
国家自然科学基金(60274007)
教育部高校博士点基金(20010487005)
中国博士后科学基金(2013033462)
华中科技大学博士后科研专项基金