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典型文献
Uniqueness of Solution to Systems of Elliptic Operators and Application to Asymptotic Synchronization of Linear Dissipative Systems Ⅱ:Case of Multiple Feedback Dampings
文献摘要:
In this paper,the authors consider the asymptotic synchronization of a linear dissipative system with multiple feedback dampings.They first show that under the observability of a scalar equation,Kalman's rank condition is sufficient for the uniqueness of solution to a complex system of elliptic equations with mixedobservations.The authors then establish a general theory on the asymptotic stability and the asymptotic synchronization for the corresponding evolutional system subjected to mixed dampings of various natures.Some classic models are presented to illustrate the field of applications of the abstract theory.
文献关键词:
作者姓名:
Tatsien LI;Bopeng RAO
作者机构:
School of Mathematical Sciences,Fudan University,Shanghai 200433,China;Shanghai Key Laboratory for Contemporarv Applied Mathematic
引用格式:
[1]Tatsien LI;Bopeng RAO-.Uniqueness of Solution to Systems of Elliptic Operators and Application to Asymptotic Synchronization of Linear Dissipative Systems Ⅱ:Case of Multiple Feedback Dampings)[J].数学年刊B辑(英文版),2022(05):659-684
A类:
Dampings,dampings,mixedobservations
B类:
Uniqueness,Solution,Systems,Elliptic,Operators,Application,Asymptotic,Synchronization,Linear,Dissipative,Case,Multiple,Feedback,In,this,paper,authors,consider,asymptotic,synchronization,linear,dissipative,system,multiple,feedback,They,first,show,that,under,observability,scalar,Kalman,rank,condition,sufficient,uniqueness,solution,complex,elliptic,equations,then,establish,general,theory,stability,corresponding,evolutional,subjected,various,natures,Some,classic,models,are,presented,illustrate,field,applications,abstract
AB值:
0.663713
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