Author:
Arman ,Muhtar Norma,Eso Rosliana,Raya Rasas
Abstract
Abstract
In this paper, the controllability of linear descriptor systems is investigated by using a direct approach. This approach is based on viewing the system as a whole. In general method, the system is first decomposed into two subsystems in the canonical form. Then, these subsystems are dealt with separately. However, in this paper, we developed the system generally not viewed separately. Then, we derived the structure of controllable subspaces for linear descriptor systems. From these results, we can state the definition of a controllable matrix and then we investigated the properties of the linear descriptor systems related to the controllability matrices by using geometric term.
Subject
General Physics and Astronomy
Reference19 articles.
1. The necessary and sufficient condition of input-output group decoupling for regular linear descriptor system with index one;Arman;Far East Journal of Mathematical Sciences (FJMS).,2017
2. Structure of input-output group decoupling for linear descriptor systems with index one;Arman;JP Journal of Algebra, Number Theory and Applications (JPANTA).,2018
3. Characterization of input-output group decoupling for linear descriptor systems using controllability subspaces;Arman;Journal of Physics: Conference Series,2019
4. A tutorial on the geometric analysis of linear timeinvariant implicit systems;Lewis;Automatica,1992
5. Descriptor systems: Pros and cons of systemmodelling by differential-algebraic equations;Müller;Mathematics andComputers in Simulation,2000