摘要
研究了一类特殊的非线性控制系统———类摆系统在线性相关参数摄动下的总体性质及鲁棒稳定性 ,运用顶点检验和鲁棒严格正实性理论 ,得到了类摆系统在上述摄动模式下双态、Lagrange稳定及Bakaev稳定的条件 .结果表明对于这类系统 ,可以通过有限检验分析其解的总体性质及鲁棒稳定性 .
The global properties and robust stability of pendulumlike systems under linearly correlated parameter perturbations were studied. Based on the vertex test and robust strictly positive realness theory, sufficient conditions for dichotomy, Lagrange stability and Bakaev stability are derived for the systems in the perturbation mode. The main results show that the global properties and the robust stability of such systems can be analyzed by using the finite element test.
出处
《控制理论与应用》
EI
CAS
CSCD
北大核心
2003年第1期8-12,共5页
Control Theory & Applications
基金
国家重点基础研究专项经费 (G19980 2 0 3 0 2)
国家自然科学基金 (10 2 72 0 0 1)资助项目
