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针对带分布时滞和离散时滞的不确定中立型系统进行稳定性研究.基于交互式凸组合方法和下界引理,通过构造恰当的李雅普诺夫泛函,适当分割时滞区间,处理一组由凸参数逆加权的正函数线性组合(交互式凸组合),给出线性矩阵不等式形式的系统鲁棒稳定性判据.该方法允许离散时滞为变时滞,增强了系统的鲁棒性能.数值算例验证了所得结果的有效性和合理性.
Aiming at the stability of uncertain neutral systems with distributed delays and discrete delays, based on the interactive convex combination method and the lower bound lemma, by properly constructing the Lyapunov functional, The robust stability criterion of linear matrix inequalities is given by a linear combination of positive functions (inverse convex combination) with inverse weighting of convex parameters. This method allows discrete delays to be variable delays and enhances the robustness of the system Numerical examples show the validity and rationality of the results obtained.