A Note on the Exponential Stability of Linear Systems with Variable Retardations

Authors

Melek GOZEN, Department of Business Administration, Management Faculty, Yuzuncu Yil University, 65080, Ercis¸, TurkeyFollow
Cemil TUNC, Department of Mathematics, Faculty of Sciences, Yuzuncu Yil University, 65080, Van, TurkeyFollow

Author Country (or Countries)

Turkey

Abstract

We here investigate the exponential stability of a kind of linear systems of first order with variable delay. By means of an auxiliary functional, we discuss exponential stability of solutions of the system considered. During the proof, we also benefit from linear matrix inequalities (LMIs).

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/110330

Recommended Citation

GOZEN, Melek and TUNC, Cemil (2017) "A Note on the Exponential Stability of Linear Systems with Variable Retardations," Applied Mathematics & Information Sciences: Vol. 11: Iss. 3, Article 30.
DOI: http://dx.doi.org/10.18576/amis/110330
Available at: https://digitalcommons.aaru.edu.jo/amis/vol11/iss3/30