一类中立型时变时滞系统的稳定性
The stability of a class of neutral time-varying delay system
云南民族大学学报:自然科学版,2015,24(5):392-397

李迪 LD

摘要


利用李雅普诺夫泛函的方法,讨论了一类具有时变时滞的不确定中立型时滞系统的稳定性问题.首先构造适合系统的李雅普诺夫泛函,结合新不等式技巧和自由权矩阵方法,对其导数积分项进行放缩处理,讨论了标称系统的稳定性问题.然后,利用Schur补引理及不等式技巧,讨论了对应的不确定系统的稳定性问题.最后,通过数值实例计算,验证了所得结论的有效性和优越性. The stability of a class of neutral timevarying delay system is reached by using the method of LyapunovKrasovskii Function.First,The new stability criteria of the nominal system are obtained by constructing the appropriate Lyapunov function and dealing with the integral items with the methods of free matrix and the skill of new inequality.Then it discusses the stability of the uncertain system with the Schur lemma and the skill of inequality.Finally,the effectiveness of the result is validated in this paper with the numerical example.

参考



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