A different view on controllability and observability of continuous time linear systems with interval coefficients

Document Type : Research Article

Authors

• H.S. Amiri ¹
• A.H. Borzabadi ²
• A. Heydari ³

¹ Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, Iran.

² Department of Applied Mathematics, University of Science and Technology of Mazandaran, P.O. Box 48518-78195, Behshahr, Iran.

³ Department of Mathematics, Payame Noor University, Mashhad, Iran.

10.22067/ijnao.v10i1.79654

Abstract

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.

Keywords

• controllability
• Observability
• Time-invariant linear systems with interval coefficients

20.1001.1.24236977.2020.10.1.7.7

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