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Controllability and reachability of singular linear discrete time systems

2014/06/03 by Charalambos P. Kontzalis, Kontzalis, Charalambos P., Grigoris I. Kalogeropoulos +1
Engineering · #Adaptive Control of Nonlinear Systems #Advanced Control Systems Optimization #Dynamical Systems (math.DS) #FOS: Electrical engineering #FOS: Mathematics #Optimization and Control (math.OC) #Stability and Control of Uncertain Systems #Systems and Control (eess.SY) #electronic engineering #information engineering

paper · pdf · doi:10.48550/arxiv.1406.1489

openalex publication_date 2014/06/03 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/01

Abstract

The main objective of this article is to develop a matrix pencil approach for the study of the controllability and reachability of a class of linear singular discrete time systems. The description equation of a practical system may be established through selection of the proper state variables. Time domain analysis is the method of analyzing the system based on this description equation, through which we may gain a fair understanding of the system's structural features as well as its internal properties. Using time domain analysis, this article studies the fundamentals in system theory such as reachability and controllability.

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