研究了一类带控制项的集微分方程DHX(t)=F(t,X(t),U(t))的稳定性.在集微分方程稳定性理论的基础上,利用李雅普诺夫函数的方法,进一步得到了集控制微分方程平凡解稳定的一个充分条件.
We study the set control differential equation DHX(t)=F(t,X(t),U(t)).Based on the stability theory of set differential equation,a sufficient condition for stability of the trivial solution of the set control differential equation is obtained by using Liapunov function.