ABSTRACT
Dealing with the one-dimensional (1D) form of two-dimensional (2D) systems is an alternative strategy to reduce the inherent complexity of 2D systems. This chapter explores the controllability analysis of 1D form. It provides the controllability analysis of the WAM model of the first FM model, and a necessary condition for the controllability of 1D model. The chapter focuses on the controllability analysis of the proposed 1D form of the underlying 2D systems. It presents a necessary and sufficient condition for the directional controllability of 2D systems. Different definitions of controllability according to different types of dynamical systems can be found in the literature. Broadly speaking, considering the controllability of 2D systems is relatively more complex compared to 1D systems. For 1D LTI systems the controllability analysis is strongly related to the so-called minimum energy control problem.
