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Cited by 4Control Systems and IdentificationAdvanced Control Systems DesignNumerical Solvers for Ordinary Differential Equations

The DOI matches its Crossref record; 22 of the 22 references it cites were found in a registry or an index.

Parameter identification of a class of nonlinear multidelay systems with piecewise constant delays

Marzban, Hamid Reza·2022·Asian Journal of Control
DOI 10.1002/asjc.2466
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Abstract

This paper deals with the parameter estimation of an important class of nonlinear time‐delay systems with a piecewise constant delay function. The developed procedure is based on a generalization of the hybrid of block‐pulse functions and Taylor polynomials. The operational matrix of integration related to the generalized hybrid functions is constructed. Furthermore, an upper bound with respect to the L2‐norm for the generalized hybrid functions is acquired, and convergence of the generalized hybrid functions is demonstrated. The merits of the hybrid basis are implemented to convert the problem under examination into an algebraic system. The methodology of least squares is adopted for solving the acquired algebraic system. An illustrative example is included in order to validate the efficiency and accuracy of the designed method. It is shown that the proposed approach provides accurate estimates for the desired parameters. The current approach reduces the computation complexity of the identification process.

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Crossref · 10.1002/asjc.2466

Cites

22 of 22 references verified0 citation errors · 0 not checkable

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Citations

Cites

Research works printed but not linked: 1

  1. Smith H., 2010, An Introduction to Delay Differential Equations with Applications to the Life Sciences

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Metadata

Authors
Marzban, H. R.
Affiliations
Isfahan University of Technology (IR)
Corresponding author
Marzban, Hamid Reza
ORCID
Marzban, Hamid Reza
Venue
Asian Journal of Control
Publisher
Wiley
Published
2020-10-18
Volume
24
Issue
1
Pages
367-376
ISSN
  • 1561-8625 (ISSN-L)
  • 1934-6093
DOI
10.1002/asjc.2466
OpenAlex
W3094150889
Cited by
4
References
22
Citations by year
2026: 1 · 2023: 2 · 2022: 1
FWCI
0.31
Type
journal article
Language
en
Open access
closed
Licence
onlinelibrary.wiley.com/termsAndConditions#vor (vor)
Locations
Asian Journal of Control (publishedVersion)
Topics
  • Physical Sciences › Engineering › Control and Systems Engineering › Control Systems and Identification
  • Physical Sciences › Engineering › Control and Systems Engineering › Advanced Control Systems Design
  • Physical Sciences › Mathematics › Numerical Analysis › Numerical Solvers for Ordinary Differential Equations
Keywords
parameter estimation, nonlinear time-delay systems, block-pulse functions, Taylor polynomials, operational matrix of integration, convergence analysis, algebraic structures, least squares estimation

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