典型文献
Stability of a Variable Coefficient Star-Shaped Network with Distributed Delay
文献摘要：
The paper deals with the exponential stability problem of a variable coefficient star-shaped network,whose strings are coupled at a common end in a star-shaped configuration and the common connection of all strings can be moved.Two kinds of media materials with a component of viscous and another simply elastic are distributed on each string.Under suitable hypothesis on the coefficient functions μj(x)of damping terms and the kernels ηj(s)of distributed delay terms,the well-posedness of the system is obtained by means of resolvent family theory.In addition,the allocation proportion of the two parts and the property of the material character functions are discussed when the star-shaped network is exponentially stable.Meanwhile,the sufficient condition of exponential stability is established.Numerical simulations are also included to verify the main results.
文献关键词：
中图分类号：
作者姓名：
ZHANG Hai-E;XU Gen-Qi;CHEN Hao;LI Min
作者机构：
School of Mathematics,Tianjin University,Tianjin 300350,China;Department of Basic Science,Tangshan University,Tangshan 063000,China;School of Mechatronical Engineering,Beijing Institute of Technology,Beijing 100081,China
文献出处：
引用格式：
[1]ZHANG Hai-E;XU Gen-Qi;CHEN Hao;LI Min-.Stability of a Variable Coefficient Star-Shaped Network with Distributed Delay)[J].系统科学与复杂性学报（英文版）,2022(06):2077-2106
A类：
resolvent
B类：
Stability,Variable,Coefficient,Star,Shaped,Network,Distributed,Delay,paper,deals,stability,problem,variable,coefficient,star,shaped,network,whose,strings,are,coupled,common,end,configuration,connection,can,be,moved,Two,kinds,media,materials,component,viscous,another,simply,elastic,distributed,each,Under,suitable,hypothesis,functions,damping,terms,kernels,delay,well,posedness,system,obtained,by,means,family,theory,In,addition,allocation,proportion,parts,property,character,discussed,when,exponentially,stable,Meanwhile,sufficient,condition,established,Numerical,simulations,also,included,verify,main,results
AB值：
0.650087
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