Structural Identifiability of Viscoelastic Mechanical Systems

被引：11
|
作者：
Mahdi, Adam [1 ]
Meshkat, Nicolette [1 ]
Sullivant, Seth [1 ]
机构：
[1] N Carolina State Univ, Dept Math, Raleigh, NC 27695 USA
来源：
PLOS ONE | 2014年 / 9卷 / 02期
基金：
美国国家科学基金会;
关键词：
MODELS; REPRESENTATION; CHECK;
D O I：
10.1371/journal.pone.0086411
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
We solve the local and global structural identifiability problems for viscoelastic mechanical models represented by networks of springs and dashpots. We propose a very simple characterization of both local and global structural identifiability based on identifiability tables, with the purpose of providing a guideline for constructing arbitrarily complex, identifiable spring-dashpot networks. We illustrate how to use our results in a number of examples and point to some applications in cardiovascular modeling.
引用
收藏
页数：10
相关论文
共 50 条
  • [1] On the observability and identifiability of nonlinear structural and mechanical systems
    Chatzis, Manolis N.
    Chatzi, Eleni N.
    Smyth, Andrew W.
    STRUCTURAL CONTROL & HEALTH MONITORING, 2015, 22 (03): : 574 - 593
  • [2] Local structural identifiability for a class of parameter-dependent mechanical systems
    Tanaka, Hideyuki
    Ohta, Yoshito
    IFAC PAPERSONLINE, 2015, 48 (28): : 1403 - 1408
  • [3] IDENTIFIABILITY FOR LINEAR MECHANICAL SYSTEMS.
    Virabyan, G.B.
    Cybernetics and Computing Technology (English translation of Kibernetikai Vychislitel'naya Tekhnik, 1983, (03): : 9 - 16
  • [4] IDENTIFIABILITY OF CONSERVATIVE LINEAR MECHANICAL SYSTEMS
    SIRLIN, SW
    LONGMAN, RW
    JUANG, JN
    JOURNAL OF THE ASTRONAUTICAL SCIENCES, 1985, 33 (01): : 95 - 118
  • [5] Structural Identifiability of Systems with Multiple Nonlinearities
    Karabutov, Nikolay
    CONTEMPORARY MATHEMATICS, 2021, 2 (02): : 140 - 161
  • [6] Structural identifiability of polynomial and rational systems
    Nemcova, Jana
    MATHEMATICAL BIOSCIENCES, 2010, 223 (02) : 83 - 96
  • [7] Preservation of structural identifiability in expanded systems
    Jedidi, Safa
    Bourdais, Romain
    Lefebvre, Marie Anne
    EUROPEAN JOURNAL OF CONTROL, 2018, 40 : 48 - 52
  • [8] Structural identifiability of linear compartmental systems
    van den Hof, JM
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1998, 43 (06) : 800 - 818
  • [9] Structural identifiability of some biotechnological systems
    Sendrescu, Dorin
    Petre, Emil
    Bobasu, Eugen
    ENVIRONMENTAL SCIENCE, ECOSYSTEMS AND DEVELOPMENT, 2007, : 49 - +
  • [10] STRUCTURAL IDENTIFIABILITY OF DYNAMICAL-SYSTEMS
    VAJDA, S
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 1983, 14 (11) : 1229 - 1247
12345