摘要
讨论了时滞奇异摄动系统的鲁棒稳定问题.通过选择恰当的Lyapunov-Krasovskii泛函,得到了带有状态时滞的奇异摄动系统的一种新的时滞相关的稳定性判据,并将该结论进一步推广到含有可容许不确定性的时滞奇异摄动系统.这些稳定性条件均为线性矩阵不等式形式,可由LMI工具箱中的求解器求解.数值实例验证了该方法的可行性和有效性.
Stability problem of singularly perturbed systems is discussed. Some new delay-dependent stability criteria are derived by employing appropriate Lyapunov-Krasovskii functional. Furthermore, results are also extend- ed to singularly perturbed systems with admissible uncertainties. All the conditions are formulated by LMI which can be solved by LMI toolbox in MATLAB. Simulated examples show that the method is feasible and effective.
出处
《纺织高校基础科学学报》
CAS
2009年第4期496-499,共4页
Basic Sciences Journal of Textile Universities
基金
陕西省自然科学基础研究计划资助项目(SJ08A20)
陕西师范大学青年科技项目(200801009)
关键词
奇异摄动系统
时滞
稳定
线性矩阵不等式
singularly perturbed systems
time delay
stability
linear matrix inequality
