This monograph, edited by A.V. Balakrishnan and M. Thoma, focuses on the recent developments in the theory of two-dimensional (2-D) linear systems. The book is authored by Tadeusz Kaczorek and is part of the Lecture Notes in Control and Information Sciences series. It covers various aspects of 2-D systems, including state-space models, transfer function matrices, controllability and observability, stability, eigenvalue assignment, observers, exact model matching, decoupling, and deadbeat control and servo problems. The monograph is structured into seven chapters, each delving into specific topics within the field of 2-D systems. It is intended for graduate students, researchers, and engineers interested in control systems and related fields. The book also includes an appendix with basic definitions, theorems, and computational algorithms.This monograph, edited by A.V. Balakrishnan and M. Thoma, focuses on the recent developments in the theory of two-dimensional (2-D) linear systems. The book is authored by Tadeusz Kaczorek and is part of the Lecture Notes in Control and Information Sciences series. It covers various aspects of 2-D systems, including state-space models, transfer function matrices, controllability and observability, stability, eigenvalue assignment, observers, exact model matching, decoupling, and deadbeat control and servo problems. The monograph is structured into seven chapters, each delving into specific topics within the field of 2-D systems. It is intended for graduate students, researchers, and engineers interested in control systems and related fields. The book also includes an appendix with basic definitions, theorems, and computational algorithms.