一类中立型时滞系统的稳定性

The stability of a class of neutral delay systems

采用了等分时滞区间的方法,通过构造新的李雅普诺夫函数,结合矩阵不等式的分析技巧,得到了时滞依赖稳定性的线性矩阵不等式的系列条件。并结合系统的性质,构造新的李雅普诺夫泛函,对其导数积分项进行时滞等分处理。首先讨论了离散时滞与中立型时滞相等的系统的稳定性问题,然后讨论了混合时滞系统的稳定性问题。最后利用数值实例,通过MATLAB工具箱计算线性矩阵不等式,验证了所得的结果。

A method aliquot delay interval is used by constructing a new Lyapunov function,combined with matrix inequality analysis techniques and got a series of conditions for delay-dependent stability of linear matrix inequalities.With the Systematic nature,to construct a new Lyapunov functional,conducted its derivative integral term treatment Delays decile.First discussed the equivalent discrete time -delay and neutral delay system stability issues.Then discuss the stability of the hybrid delay systems.Finally,use numerical examples and calculated by MATLAB LMI toolbox to verified the results.