中立型双时滞微分系统Hurwitz稳定性的代数判据  

Algebraic criteria of Hurwitz-stability of neutral differential system with double time delays

作　　者：员陈鑫[1] 蒋威[1] 

机构地区：[1]安徽大学数学科学学院,安徽合肥230601

出　　处：《合肥工业大学学报（自然科学版）》2012年第11期1574-1576,共3页Journal of Hefei University of Technology：Natural Science

基　　金：国家自然科学基金资助项目(11071001);高等学校博士学科点专项科研基金资助项目(2009340111000);安徽省高校重大资助项目(KJ2010ZD02);安徽省高校自筹经费资助项目(KJ2012Z338)

摘　　要：文章讨论了一类线性双时滞中立微分系统的渐近稳定性。首先给出系统的特征方程,进而根据相关引理得到初步判定系统的Hurwitz稳定的充分条件;并以矩阵模的半径为研究中介,通过构造矩阵的方法最终得到简单的判定系统Hurwitz稳定的判据;借助矩阵谱半径的形式给出结论,从而更加方便验证。The asymptotic stability of linear neutral differential system with double time delays is inves- tigated. The characteristic equation of the system is given, and according to related lemmas, the ten- tative sufficient condition of Hurwitz-stability of the system is gotten. By the method of constructing matrices, the simple delay-independent Hurwitz-stability criteria are derived in terms of the spectral radius of modulus matrices. The conclusions are drawn based on the spectral radius of modulus matri- ces which makes the validation easier.

关 键 词：中立系统 代数判据 时滞 稳定性 

分 类 号：O178[理学—数学]