Delay-dependent absolute stability of Lurie control systems with multiple time-delays

作者：Tian, Junkang^*; Zhong, Shouming; Xiong, Lianglin

来源：Applied Mathematics and Computation, 2007, 188(1): 379-384.

DOI：10.1016/j.amc.2006.09.119

• Lurie control system
• absolute stability
• delay-dependent
• linear matrix inequality

The stability of Lurie control systems with multiple time-delays is investigated. The system with multiple time-delays is transformed, then a suitable Lyapunov function is selected, the delay-dependent absolutely stable condition for Lurie control systems with multiple time-delays is obtained by applying the technique of analyzing inequality and the method of decomposing the matrices. The condition is based on the linear matrix inequality. Finally, a numerical example is given to demonstrate the derived condition is less conservative than that given in the literature.

• 出版日期2007-5-1