vector Lyapunov function

Utilizing piecewise continuous vector Lyapunov function, the practical stabilization of control systems with fixed moments of impulse effects by establishing a new comparison result is considered.

借助于向量李雅谱诺夫函数，通过建立一个新的比较结果，研究了具有固定时刻脉冲的控制系统的实际稳定性。

The global exponential stability of a class of linear interconnected large scale systems with time delays was analyzed based on M matrix theory and by constructing a vector Lyapunov function.

利用M矩阵理论，通过构造适当的向量李雅普诺夫函数，研究一类具有时变时间滞后的线性关联大系统的全局指数稳定性。

By using vector Lyapunov function and M matrix theory, some sufficient conditions for the stochastic stability of the system are obtained.

基于矢量Lyapunov函数法和M矩阵理论，得到了平衡点随机稳定的充分条件。

Firstly, a lemma is established to deal with the diffusion terms. Then, by using vector Lyapunov function and M matrix theory, some criteria are obtained for judging the stability of the systems.

首先建立了一个引理，该引理用以处理扩散项；然后，基于矢量Lyapunov函数法和M矩阵理论，得到了这些系统的稳定性判据。