Ferdowsi University of Mashhad Iranian Journal of Numerical Analysis and Optimization 2423-6977 10 1 2020 04 01 A different view on controllability and observability of continuous time linear systems with interval coefficients نگاهی متفاوت به کنترل پذیری و مشاهده پذیری سیستمهای با تغییر زمان خطی همراه با ضرایب بازه ای 107 120 25184 10.22067/ijnao.v10i1.79654 EN H.S. Amiri Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, Iran. A.H. Borzabadi Department of Applied Mathematics, University of Science and Technology of Mazandaran, P.O. Box 48518-78195, Behshahr, Iran. 0000-0003-0514-3433 A. Heydari Department of Mathematics, Payame Noor University, Mashhad, Iran. 0000-0002-8740-2621 Journal Article 2019 03 11 We discuss the controllability and observability of time-invariant (continuous time) linear systems with interval coefficients using the notion of being full rank of interval matrices. The most important advantage of the proposed attitude is to consider these two essential concepts, that is, control lability and observability, in interval time-invariant linear systems, which, in turn, may play important roles in the analysis of uncertain systems. Some different definitions on to be full rank of matrices have been utilized to propose different views on the controllability and observability of interval linear systems according to different criteria. Finally, in several control-observation processes, the controllability and observability are evaluated based on the given achievements. controllability Observability Time-invariant linear systems with interval coefficients https://ijnao.um.ac.ir/article_25184_36a3c31c3e6d065c50b3d80fd9ba39bf.pdf