一类变系数时滞微分方程零解的稳定性

A Class of Variable Coefficient Linear Delay Differential Equation of the Stability of the Zero Solution

利用拉什米辛判别法研究了一类变系数的时滞微分方程零解的稳定性,在较弱的条件下,得到了该方程零解稳定的充分条件,并给出两个例子说明定理的应用,数值模拟说明了所得结果的正确性.

A class of delay differential equations with variable coefficient of the stability of the zero solution were discussed using Lakshmi sheen criterion .Under mild condition , the sufficient conditions for the robust stability of the zero solution of the equations were obtained;then two examples were given to illustrate the application of theorem , and finally the validity of the results was proved by numerical simulation .