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
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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Cites
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Solution of piecewise constant delay systems using hybrid of block‐pulse and Chebyshev polynomials
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Self-citation
Research works printed but not linked: 1
- Smith H., 2010, An Introduction to Delay Differential Equations with Applications to the Life Sciences
Cited by
Asiri, S., & Liu, D. (2023) · Asian Journal of Control · doi:10.1002/asjc.2858 · Cited by 18
Li, J., Song, W., Jiang, Y., & Chu, J. (2023) · Circuits Systems and Signal Processing · doi:10.1007/s00034-023-02361-y · Cited by 4
A new backward shift algorithm for system identification by a good choice of frequencies
Mi, W., & Qian, T. (2023) · Asian Journal of Control · doi:10.1002/asjc.3255 · Cited by 1
Abdelaali, C., El-Kabassi, I., Brouri, A., & Sassi, A. (2026) · Circuits Systems and Signal Processing · doi:10.1007/s00034-026-03783-0
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
- 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
- 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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