表示相空间相邻轨迹的平均指数发散率的数值特征。又称李雅普诺夫特征指数，是用于识别混沌运动若干数值的特征之一。
延迟混沌系统是无限维系统，能生成多个正的李雅普诺夫指数，对其分析和控制都比较困难。
The time-delayed chaotic system is infinite dimensional systems, and it can generate multiple positive Lyapunov exponents , and it is more difficult to be analysised and controled.
由于它的线性子系统的条件李雅普诺夫指数均为负，因而是可同步子系统，能够用于混沌保密通信。
Since the conditional Lyapunov exponents of its linear subsystem are all negative, the linear subsystem is synchronizable and the new chaos generator can be used for chaotic communication.
通过改变系统李雅普·诺夫指数对工业过程控制中的混沌现象进行控制，并提出了一种确定控制区域的方法。
In this paper, we propose an approach to chaotic systems control by changing the Lyapunov exponents of the system, and then propose a way to decide the control region.
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