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arXiv · 2110.15830

Characterising Linear Spatio-Temporal Dynamical Systems in the Frequency Domain

Hua-Liang Wei·Stephen A. Billings
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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.

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Hua-Liang Wei, Stephen A. Billings. 2021-10-29. Characterising Linear Spatio-Temporal Dynamical Systems in the Frequency Domain. https://arxiv.org/abs/2110.15830

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