System Identification and Model Validation for Spatio-Temporal Dynamical Systems

时空系统是在空间和时间上演化的系统。直到最近，分析时空系统的工具的缺乏并没有成为一个限制，因为大多数实验产生的纯粹是时间信息，其形式是在特定地点或地点进行测量。但在许多重要的系统中，空间和时间对于解释观测到的现象至关重要。本研究的主要目标是研究时空系统模型的识别，其中单元格条目可以是连续的或二进制变量，并研究这类重要的非线性系统的验证和其他属性。

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.