Open AccessGlobal Structure of Determining Matrices for a Class of Differential Control Systems
Author(s) -
Ukwu Chukwunenye,
Onyekachukwu Henry Ikeh Ikeh
Publication year - 2021
Publication title -
journal of mathematics and statistics studies
Language(s) - English
Resource type - Journals
ISSN - 2709-4200
DOI - 10.32996/jmss.2021.2.1.8
Subject(s) - controllability , rank condition , rank (graph theory) , matrix (chemical analysis) , differential (mechanical device) , class (philosophy) , matlab , computer science , euclidean geometry , control theory (sociology) , mathematics , control (management) , artificial intelligence , engineering , combinatorics , materials science , geometry , composite material , aerospace engineering , operating system
This paper developed and established unprecedented global results on the structure of determining matrices of generic double time-delay linear autonomous functional differential control systems, with a view to obtaining the controllability matrix associated with the rank condition for the Euclidean controllability of the system. The computational process and implementation of the controllability matrix were demonstrated on the MATLAB platform to determine the controllability disposition of a small-problem instance. Finally, the work examined the computing complexity of the determining matrices.