Characterising Linear Spatio-Temporal Dynamical Systems in the Frequency Domain [article]

Hua-Liang Wei
2021 arXiv   pre-print
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
more » ... 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.
arXiv:2110.15830v1 fatcat:5zo5hqfizrerdbvaalmzdxwldi