A new elementary operation approach for the realization of 2-D singular systems
Yining Zhang, Gang Cheng, Dongdong Zhao, Li Xu, Yan Shi · 2018
This paper proposes the singular general model (SGM) realization approach for two-dimensional (2-D) singular systems by using elementary operations. The new elementary operation approach proposed recently by the co-authors for the Roesser model realization of regular systems case will be generalized to the singular system case. Specifically, the realization problem of singular systems is first formulated as an elementary operation problem of a well-defined polynomial matrix associated with the given transfer function. Then, a general constructive realization procedure is established based on elementary operations, which guarantees an SGM realization of an arbitrarily given transfer function of 2-D singular systems. Two examples are given to illustrate the details and effectiveness of the proposed approach.