| 时变广义系统稳定性分析 |
| |
| 引用本文： | 胡刚,孙继涛.时变广义系统稳定性分析[J].同济大学学报(自然科学版),2003,31(4):481-485. |
| |
| 作者姓名： | 胡刚 孙继涛 |
| |
| 作者单位： | 1. 广东工业大学,自动化学院,广东,广州,510090
2. 同济大学,应用数学系,上海,200092 |
| |
| 基金项目： | 广东省自然科学基金资助项目 (0 2 0 0 65 ) |
| |
| 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 .
|
| 关 键 词： | 广义系统 时变 稳定性 判据 Riccati方程 |
| 文章编号： | 0253-374X(2003)04-0481-05 |
| 修稿时间： | 2002年4月1日 |
Stability Analysis for Singular Systems with Time-varying |
| |
| HU Gang ,SUN Ji-tao.Stability Analysis for Singular Systems with Time-varying[J].Journal of Tongji University(Natural Science),2003,31(4):481-485. |
| |
| Authors: | HU Gang SUN Ji-tao |
| |
| Institution: | HU Gang 1,SUN Ji-tao 2 |
| |
| Abstract: | 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. |
| |
| Keywords: | singular systems time-varying stability criterion Riccati equation |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
