摘要
考察了线性奇异摄动系统x=A(ε)x的ε稳定性,同时对扰动系统x=(A(ε)+△A)x的鲁棒性问题进行了研究,运用代数矩阵和李亚普诺夫稳定性理论得到了相应的ε-稳定性界和稳定鲁棒性界。实例分析验证了所提出结果的有效性。
In this paper, both the ε-stability of linear singularly perturbed systems x^·=A (ε) x and the robustness of uncertain systems x^·= (A (ε) +ΔA) x are investigated. Based on matrix theory and LYAPUNOV stability theory,ε-stability bounds and stability robustness bounds are obtained respectively. Several examples are given to illustrate the proposed results.
出处
《江苏工业学院学报》
2006年第1期55-57,共3页
Journal of Jiangsu Polytechnic University
关键词
奇异摄动系统
稳定性
稳定鲁棒性
singularly perturbed systems
stability
stability robustness