摘要
提出了 x(t) =Ax(t) +Bx(t- τ)时滞无关稳定的一个充分条件 ,并进而研究了系统在不满足时滞无关稳定条件下 ,不稳定特征根的区域范围 ,给出了一个与时滞相关稳定的新的充分条件 .文末 ,给出了本文结论的示例 ,并与已有结果进行了比较 ,表明了该方法的有效性和可行性 .
Three new sufficient conditions for delay independent stability of linear systems described by (t)=Ax(t)+Bx(t-τ) are proposed in this paper. Further results on the stability under the case that the delay independent conditions are not satisfied are obtained by restricting the regions of unstable eigenvalue. With comparison to the results from references, it shows that the methods is feasible and effective.
出处
《信息与控制》
CSCD
北大核心
2001年第1期55-58,共4页
Information and Control
基金
国家自然科学基金 ( No.6 99740 31)
湖南省科研基金 ( No.98C0 5 5 )资助项目
关键词
时滞线性系统
稳定性分析
矩阵特征值
时滞微分方程
linear system with delay, stability analysis, Lyapunov method, eigenvalue of matrix
