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Self-Concordant Barriers for Cones Generated by Chebyshev Systems
SIAM Journal on Optimization, 2002Summary: We explicitly calculate characteristic functions of cones of generalized polynomials corresponding to Chebyshev systems on intervals of the real line and the circle. Thus, in principle, we calculate homogeneous self-concordant barriers for this class of cones.
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Chebyshev economization in Poincaré–Dulac transformations of nonlinear systems
Nonlinear Analysis: Theory, Methods & Applications, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Chebyshev series approach to linear systems sensitivity analysis
Journal of the Franklin Institute, 1987A simplified method is proposed for the determination of sensitivity functions of linear time-invariant systems. This method, based on the idea of using Chebyshev polynomials, is also extended in the case of linear systems with time-varying variations. The approach is approximate, straightforward and computationally simple.
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A bivariate Chebyshev polynomials method for nonlinear dynamic systems with interval uncertainties
Nonlinear Dynamics, 2021Feng Li, Guangwei Meng
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A Chebyshev interval method for nonlinear dynamic systems under uncertainty
Applied Mathematical Modelling, 2013Jinglai Wu, Yunqing Zhang, Liping Chen
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Numerical solution of time-varying delay systems by Chebyshev wavelets
Applied Mathematical Modelling, 2011Majid Tavassoli Kajani
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Interval uncertain method for multibody mechanical systems using Chebyshev inclusion functions
International Journal for Numerical Methods in Engineering, 2013Jinglai Wu, Zhen Luo, Yunqing Zhang
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Chebyshev wavelets approach for nonlinear systems of Volterra integral equations
Computers and Mathematics With Applications, 2012Jafar Biazar, JBiazar
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