Pseudospectral method for assessing stability robustness for linear time‐periodic delayed dynamical systems

• Published in: International journal for numerical methods in engineering Vol. 121; no. 16; pp. 3505 - 3528
• Main Authors: Borgioli, Francesco, Hajdu, David, Insperger, Tamas, Stepan, Gabor, Michiels, Wim
• Format: Journal Article
• Language: English
• Published: Hoboken, USA John Wiley & Sons, Inc 30.08.2020; Wiley Subscription Services, Inc
• Subjects: Computation; Computer simulation; differential equations; Dynamic stability; dynamical systems; Eigenvalues; Mathematical analysis; Mathematical models; Matrix methods; Operators (mathematics); optimization; Pendulums; Periodic functions; Robustness (mathematics); spectral; Spectral methods; stability; Stability analysis; Uncertainty; vibrations

Summary The article presents a pseudospectral approach to assess the stability robustness of linear time‐periodic delay systems, where periodic functions potentially present discontinuities and the delays may also periodically vary in time. The considered systems are subject to linear real‐valued ti...