2021/10/29 by Hua‐Liang Wei, Wei, Hua-Liang, Billings, Stephen A.
Engineering · #Adaptive Control of Nonlinear Systems #Control Systems and Identification #FOS: Electrical engineering #FOS: Physical sciences #Pattern Formation and Solitons (nlin.PS) #Stability and Control of Uncertain Systems #Systems and Control (eess.SY) #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.2110.15830
openalex created_date 2016/06/24 · openalex publication_date 2021/10/29 · openalex updated_date 2026/07/28
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.