Time-delayed dynamical systems are defined in an infinite dimensional state-space. When the system has multiple stable steady-state responses, the global analysis of the system such as finding the domains of attraction and boundary basin has to be done in the infinite dimensional state-space. This paper examines this issue and shows that there are rich opportunities for global analysis research of nonlinear time-delayed dynamical systems.
- Design Engineering Division and Computers and Information in Engineering Division
Global Analysis of Nonlinear Time-Delayed Dynamical Systems
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Sun, J, Song, B, & Yang, J. "Global Analysis of Nonlinear Time-Delayed Dynamical Systems." Proceedings of the ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Volume 1: 23rd Biennial Conference on Mechanical Vibration and Noise, Parts A and B. Washington, DC, USA. August 28–31, 2011. pp. 631-635. ASME. https://doi.org/10.1115/DETC2011-48069
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