Extensions to a procedure for generating locally identifiable reparameterisations of unidentifiable systems

被引：51
作者：
Evans, ND [1 ]
Chappell, MJ [1 ]
机构：
[1] Univ Warwick, Sch Engn, Coventry CV4 7AL, W Midlands, England
来源：
MATHEMATICAL BIOSCIENCES | 2000年 / 168卷 / 02期
基金：
英国工程与自然科学研究理事会;
关键词：
unidentifiable systems; indistinguishability; reparameterisation procedure;
D O I：
10.1016/S0025-5564(00)00047-X
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper extensions to an existing procedure for generating locally identifiable reparameterisations of unidentifiable systems are presented. These extensions further formalise the constructive nature of the methodology and lend themselves to application within symbolic manipulation packages. The extended reparameterisation procedure is described in detail and is illustrated with application to two known nontrivial examples of unidentifiable systems of practical relevance. (C) 2000 Elsevier Science Inc. All rights reserved.
引用
收藏
页码：137 / 159
页数：23
相关论文
共 25 条
[1]  
[Anonymous], [No title captured]
[2]  
[Anonymous], 2013, Nonlinear control systems
[3]  
[Anonymous], IDENTIFIABILITY PARA
[4]   INDISTINGUISHABILITY FOR A CLASS OF NONLINEAR COMPARTMENTAL-MODELS [J].
CHAPMAN, MJ ;
GODFREY, KR ;
VAJDA, S .
MATHEMATICAL BIOSCIENCES, 1994, 119 (01) :77-95
[5]  
CHAPMAN MJ, 1999, UNPUB INT J CONTROL
[6]   GLOBAL IDENTIFIABILITY OF THE PARAMETERS OF NONLINEAR-SYSTEMS WITH SPECIFIED INPUTS - A COMPARISON OF METHODS [J].
CHAPPELL, MJ ;
GODFREY, KR ;
VAJDA, S .
MATHEMATICAL BIOSCIENCES, 1990, 102 (01) :41-73
[7]   A procedure for generating locally identifiable reparameterisations of unidentifiable non-linear systems by the similarity transformation approach [J].
Chappell, MJ ;
Gunn, RN .
MATHEMATICAL BIOSCIENCES, 1998, 148 (01) :21-41
[8]   STRUCTURAL IDENTIFIABILITY OF THE PARAMETERS OF A NONLINEAR BATCH REACTOR MODEL [J].
CHAPPELL, MJ ;
GODFREY, KR .
MATHEMATICAL BIOSCIENCES, 1992, 108 (02) :241-251
[9]  
CHAPPELL MJ, 1999, P IEE C SYMB COMP CO
[10]   COMPLETE PARAMETER BOUNDS AND QUASI-IDENTIFIABILITY CONDITIONS FOR A CLASS OF UNIDENTIFIABLE LINEAR-SYSTEMS [J].
DISTEFANO, JJ .
MATHEMATICAL BIOSCIENCES, 1983, 65 (01) :51-68
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