论 Lyapunov 泛函

On Lyapunov Functional

在Ｔ·Ａ·Ｂｕｒｔｏｎ研究滞后型泛函微分方程理论的基础上，构造了差分微分方程，时滞非线性控制系统及Ｖｏｌｔｅｒａ积分微分方程的Ｌｙａｐｕｎｏｖ泛函，给出了上述３类方程稳定的判据．

By means of the theorem due to T.A.Burton the problem of constructing Lyapunov functional for Difference-Differential Equations,a class of nonlinear control systems with delay,and the Volterra Integral and Differential Equations is discussed and analyzed.Some analysis techniques of concrete constructing Lyapunov functional are presented.Meantime,the historical development of this problem is described.