作　　者： ; ;

机构地区： 广东工业大学自动化学院

出　　处： 《同济大学学报（自然科学版）》 2003年第4期481-485,共5页

摘　　要： 研究了时变广义线性系统和时变广义非线性系统的稳定性问题 .首先利用相关不等式 ,给出了一个时变广义线性系统无脉冲且稳定的充分条件 .该结果可用于对不确定广义控制系统稳定性的研究 .然后 ,在适当的条件下 ,通过慢子系统来判断快子系统的变化 ,并利用Riccati方程 ,建立了时变广义非线性系统是渐近稳定的简明判据 .最后 ,给出了例子以说明本文的结论 . In this paper,the problems of stability for linear singular systems and nonlinear singular systems with time-varying are studied.First of all,a sufficient condition is derived based on matrix inequality,in which linear singular system is found to be impulse-free and stable;furthermore,this method can be used to discuss the problems of stability for singular control systems with uncertainties.Due to fact that the slow sub-systems can be determined by the fast sub-systems with appropriate conditions,some concise criteria of stability for nonlinear singular systems with time-varying are obtained by using Riccati equation.Finally an example is given to illustrate the proposed results.

关 键 词： 广义系统 时变 稳定性 判据 方程

领　　域： [自动化与计算机技术] [自动化与计算机技术]