A multi-interval Chebyshev collocation approach for the stability of periodic delay systems with discontinuities

作者：Khasawneh Firas A^*; Mann Brian P; Butcher Eric A

来源：Communications in Nonlinear Science & Numerical Simulation, 2011, 16(11): 4408-4421.

DOI：10.1016/j.cnsns.2011.03.025

• Chebyshev collocation
• Multi-domain
• Multi-interval

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.

• 出版日期2011-11