In the theory of stability for large - scale systems there are mainly two kinds of analysis approaches 分析大系统稳定性的方法主要是李雅普诺夫函数法。
The theory of stability is a basic and important subject in the theories of differential equations 稳定性理论是微分方程理论研究中一个基本而又重要的研究课题。
After considering the nonlinear differential equation with coefficient perturbation , we have obtained the theorem which guarantees the existence of the unique uniformly stable almost periodic solution for the system by using exponential dichotomy and theories of stability 摘要考虑具系数扰动的非线性微分方程,利用指数型二分性及稳定性有关理论得到了该系统的概周期解的存在性、唯一性和稳定性,获得了一些新的结果。
Linear matrix inequality was introduced to cope with the puzzle of determining common positive matrix . theory of stability analysis and controller design was established based on lmi method . ( 3 ) nonlinear fuzzy p redictive c ontrol t heory b ased on t - s s tate s pace m odel was explored 针对稳定性分析中公共正定矩阵p难以确定的难题,引入了lmi方法,借助于成熟的数学工具,不仅解决了确定公共正定矩阵p的问题,而且建立了基于lmi方法的稳定性分析和控制器设计的理论方法。