Characterising Linear Spatio-Temporal Dynamical Systems in the Frequency Domain
Abstract
A new concept, called the spatio-temporal transfer function (STTF), is introduced to characterise a class of linear time-invariant (LTI) spatio-temporal dynamical systems. The spatio-temporal transfer function is a natural extension of the ordinary transfer function for classical linear time-invariant control systems. As in the case of the classical transfer function, the spatio-temporal transfer function can be used to characterise, in the frequency domain, the inherent dynamics of linear time-invariant spatio-temporal systems. The introduction of the spatio-temporal transfer function should also facilitate the analysis of the dynamical stability of discrete-time spatio-temporal systems.
- Publication:
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arXiv e-prints
- Pub Date:
- October 2021
- DOI:
- 10.48550/arXiv.2110.15830
- arXiv:
- arXiv:2110.15830
- Bibcode:
- 2021arXiv211015830W
- Keywords:
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- Electrical Engineering and Systems Science - Systems and Control;
- Nonlinear Sciences - Pattern Formation and Solitons
- E-Print:
- 11 pages, 1 figure