仲恺农业工程学院学报
仲愷農業工程學院學報
중개농업공정학원학보
Journal of ZhongKai University of Agriculture and Technology
2015年
3期
57-59
,共3页
Halanay不等式%时滞微分方程%全局指数稳定
Halanay不等式%時滯微分方程%全跼指數穩定
Halanay불등식%시체미분방정%전국지수은정
Halanay inequality%delay different equations%globally exponentially stable
用一种简单的方法证明了广义的Halanay不等式, 此类不等式可以用来研究时滞微分方程的动态行为.据此研究了一类多时滞的控制系统并得到系统全局指数稳定的充分条件, 并通过应用实例部分验证所得结论的有效性.
用一種簡單的方法證明瞭廣義的Halanay不等式, 此類不等式可以用來研究時滯微分方程的動態行為.據此研究瞭一類多時滯的控製繫統併得到繫統全跼指數穩定的充分條件, 併通過應用實例部分驗證所得結論的有效性.
용일충간단적방법증명료엄의적Halanay불등식, 차류불등식가이용래연구시체미분방정적동태행위.거차연구료일류다시체적공제계통병득도계통전국지수은정적충분조건, 병통과응용실례부분험증소득결론적유효성.
A general Halanay inequality was formulated by a simple method.It could be applied to the study of dynamical behavior of delay different equations.A class of control system was considered with multi-delay and a sufficient condition to guarantee the global exponential stability was established.At last, applications demonstrated part of the effectivity of the development method.
