带有混合时变时滞的不确定中立型系统的鲁棒稳定性判据

Robust stability of uncertain neutral systems with mixed time varying delays

主要研究了带有混合时变时滞的不确定中立型系统的鲁棒稳定性问题。在原有单一时变时滞的基础上增加了混合时滞,并且加入了不确定项。首先,选取恰当的Lyapunov泛函,并在求导的过程中应用了Schur补引理和Newton-Leibiniz公式。再引入适当的自由权矩阵.为了方便,将结果以线性矩阵不等式的形式给出。然后,利用Matlab软件中的LMI工具箱求解,得到相应数据,并给出了带有混合时滞的不确定中立型稳定性判据。该方法的优点在于使判据具有较小的保守性。最后,通过数值例子验证了该方法的有效性和优越性。

This paper studies the mixture ofneutral systems with time-varying delays robust stabilization problem. On the basis of the original single time-varying delay,the mixed delay is added,and the uncertaintly is added. By selecting the appropriate Lyapunov function,the Schur complement lemma and the Newton-Leibiniz formula method are used in the derivation process. Reintroduce the free weighting matrix. For convenience,the results are given in the form of linear matrix inequalities. Finally,by using the LMI toolbox of Mablab software the corresponding data is got. The stability criterion with the mixture of neutral systems with time-varying delays is presented. The advantage of this method is that the criterion is conservative. Finally,one numerical example is given to illustrate the effectiveness of the proposed method.