A multi-interval Chebyshev collocation approach for the stability of periodic delay systems with discontinuities
Publication
, Journal Article
Khasawneh, FA; Mann, BP; Butcher, EA
Published in: Communications in Nonlinear Science and Numerical Simulation
January 1, 2011
This paper investigates the stability of periodic delay systems with non-smooth coefficients using a multi-interval Chebyshev collocation approach (MIC). In this approach, each piecewise continuous interval is expanded in a Chebyshev basis of the first order. The boundaries of these intervals are placed at the points of discontinuity to recover the fast convergence properties of spectral methods. Stability is examined for a set of case studies that contain the complexities of periodic coefficients, delays and discontinuities. The new approach is also compared to the conventional Chebyshev collocation method. © 2011 Elsevier B.V.
Duke Scholars
Published In
Communications in Nonlinear Science and Numerical Simulation
DOI
ISSN
1007-5704
Publication Date
January 1, 2011
Volume
16
Issue
11
Start / End Page
4408 / 4421
Related Subject Headings
- Mathematical Physics
- 4903 Numerical and computational mathematics
- 4901 Applied mathematics
- 0103 Numerical and Computational Mathematics
- 0102 Applied Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Khasawneh, F. A., Mann, B. P., & Butcher, E. A. (2011). A multi-interval Chebyshev collocation approach for the stability of periodic delay systems with discontinuities. Communications in Nonlinear Science and Numerical Simulation, 16(11), 4408–4421. https://doi.org/10.1016/j.cnsns.2011.03.025
Khasawneh, F. A., B. P. Mann, and E. A. Butcher. “A multi-interval Chebyshev collocation approach for the stability of periodic delay systems with discontinuities.” Communications in Nonlinear Science and Numerical Simulation 16, no. 11 (January 1, 2011): 4408–21. https://doi.org/10.1016/j.cnsns.2011.03.025.
Khasawneh FA, Mann BP, Butcher EA. A multi-interval Chebyshev collocation approach for the stability of periodic delay systems with discontinuities. Communications in Nonlinear Science and Numerical Simulation. 2011 Jan 1;16(11):4408–21.
Khasawneh, F. A., et al. “A multi-interval Chebyshev collocation approach for the stability of periodic delay systems with discontinuities.” Communications in Nonlinear Science and Numerical Simulation, vol. 16, no. 11, Jan. 2011, pp. 4408–21. Scopus, doi:10.1016/j.cnsns.2011.03.025.
Khasawneh FA, Mann BP, Butcher EA. A multi-interval Chebyshev collocation approach for the stability of periodic delay systems with discontinuities. Communications in Nonlinear Science and Numerical Simulation. 2011 Jan 1;16(11):4408–4421.
Published In
Communications in Nonlinear Science and Numerical Simulation
DOI
ISSN
1007-5704
Publication Date
January 1, 2011
Volume
16
Issue
11
Start / End Page
4408 / 4421
Related Subject Headings
- Mathematical Physics
- 4903 Numerical and computational mathematics
- 4901 Applied mathematics
- 0103 Numerical and Computational Mathematics
- 0102 Applied Mathematics