Firstly, we use norm theory to research the controlled chaotic systems and lead to some sufficient conditions for system convergence and the choice of state feedback gain matrixes.

首先，利用范数理论研究受控混沌系统的收敛性，并导出受控系统收敛的充分条件和线性反馈增益矩阵的选取原则；

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Some new equivalent conditions of weak convergence of probability measure are presented and a sufficient condition for the epi-convergence of expectant functional sequence is obtained.

研究了函数序列关于弱收敛概率测度序列积分的极限定理，给出了概率测度弱收敛的若干新的等价条件，得到了期望泛函序列上图收敛的一个充分条件。

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Sufficient conditions for the asymptotic convergence of the whole system are provided in terms of linear matrix inequalities (LMI).

本文还验证了整个系统的大范围渐进稳定性的约束条件，并由线性矩阵不等式得出控制率。

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