一类具有时滞的线性区间动力系统的鲁棒稳定性  

Robust stability of a kind of linear interval systems with time-delay

作　　者：魏晓燕[1] 卢占会[1] 严艳[1] 杨玉华[1] 

机构地区：[1]华北电力大学数理学院,河北保定071003

出　　处：《华北电力大学学报（自然科学版）》2007年第4期96-99,103,共5页Journal of North China Electric Power University：Natural Science Edition

摘　　要：研究了主对角线上不含零点的线性区间动力系统和该系统带有时滞情况的稳定性。通过构造Lyapunov函数,得到了主对角线上不含零点的线性区间动力系统的鲁棒稳定与不稳定的判定定理,以及其带有时滞的区间动力系统的鲁棒全局稳定,鲁棒稳定,鲁棒不变的充分条件,所得结论只需判断一个常数矩阵是否为M矩阵。最后给出了上述结论的应用实例。By employing Lyapunov function, the sufficient conditions for robust stability of a special dynamic interval systems with interval matrix of non-zero in the diagonal were obtained, the global robust stability and robustl stability for the special dynamic systems with time-delay were obtained respectively. These conditions can be easily used because it needs only to test a matrix whether it is a M matrix. Example shows that the result is simple and easy to implement.

关 键 词：区间矩阵 时滞 鲁棒全局稳定性 鲁棒稳定性 LYAPUNOV函数 

分 类 号：O175.21[理学—数学] TP13[理学—基础数学]