Stability of linear time‐periodic delay‐differential equations via Chebyshev polynomials

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Decentralized Consensus Control of a Rigid-Body Spacecraft Formation with Communication Delay (2016, methodology): “Note that another numerical technique that can be used to efficiently generate an approximation to the infinite-dimensional monodromy operator U is expansion in terms of Chebyshev polynomials as discussed in [42].”
Analysis of Milling Stability by the Chebyshev Collocation Method: Algorithm and Optimal Stable Immersion Levels (2009, methodology): “[29] for the stability analysis of time-periodic DDEs with smooth coefficients by Chebyshev polynomial expansion.”
Updated semi‐discretization method for periodic delay‐differential equations with discrete delay (2004, methodology): “[35] have also checked the results regarding the stability chart of the delayed Mathieu equation, they used the shifted Chebyshev polynomial method [36].”
A LEGENDRE-GAUSS COLLOCATION METHOD FOR NONLINEAR DELAY DIFFERENTIAL EQUATIONS (2010, unknown): “, [3]-[6] and [9, 10, 14, 26]).”
Small-Signal Stability Analysis of Large Power Systems With Inclusion of Multiple Delays (2016, background): “(TIO) as proposed in [24]–[26]; 3) a linear multistep (LMS) ap-”