System Identification and Model Validation for Spatio-Temporal Dynamical Systems

时空系统是同时在空间和时间上进化的系统。直到最近，缺乏分析时空系统的工具并不是一个限制，因为大多数实验以在特定地点或地点进行测量的形式产生纯粹的时间信息。但在许多重要的系统中，空间和时间对于解释观察到的现象是必不可少的。这项研究的主要目的将是研究单元输入可以是连续变量或二元变量的时空系统模型的辨识，并研究这类重要的非线性系统的有效性和其他性质。

Spatio-temporal systems are systems that evolve over both space and time. Until recently the lack of tools for analysing spatio-temporal systems has not been a limitation since most experiments produced purely temporal information in the form of measurements at a specific location or site. But there are many important systems where space and time are essential for explaining the observed phenomena. The main objective of this research study will be to investigate the identification of models of spatio-temporal systems where the cell entries can be either continuous or binary variables and to study the validation and other properties of this important class of nonlinear systems.