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Identification for a class of distributed parameter systems
Authors:Zou Zhenyu
Institution:Center for Mathematical Sciences, Chengdu Institute of Computer Applications, Chinese Academy of Sciences, Chengdu 610041, China
Abstract:This paper discusses the identification for the distributed parameter system of gas reservoirs with het erogeneous carbonate matrices. Based on the relationship between the ad hoc function and the geological feature, we set up a general model with double porous structure, clarify its effect and significance, and present a series of results of sys tem identifications, including the basic content and methods, stabilizing functional and parameter identifiability etc. Us ing the perturbation of spectra of self-adjoint operators, the identifiability of the porosities and the ad hoc coefficient is demonstrated for the general structure model. This project indicates that the identification of a distributed parameter sys tem involves parameters, boundary position and structure.
Keywords:distributed parameter system  structure model  system identification  identifiability  
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