Finite-Time Stability Analysis of Linear Differential Systems with Pure Delay

Ahmed M. Elshenhab, Xingtao Wang, Omar Bazighifan and Jan Awrejcewicz
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Ahmed M. Elshenhab: School of Mathematics, Harbin Institute of Technology, Harbin 150001, China
Xingtao Wang: School of Mathematics, Harbin Institute of Technology, Harbin 150001, China
Omar Bazighifan: Section of Mathematics, International Telematic University Uninettuno, CorsoVittorio Emanuele II, 39, 00186 Roma, Italy
Jan Awrejcewicz: Department of Automation, Biomechanics and Mechatronics, Lodz University of Technology, 1/15 Stefanowski St., 90-924 Lodz, Poland

Mathematics, 2022, vol. 10, issue 9, 1-10

Abstract: Nonhomogeneous systems governed by second-order linear differential equations with pure delay are considered. As an application, the exact solutions of these systems and their delayed matrix functions are used to obtain the finite-time stability results. Our results extend and improve some previous results by removing some restrictive conditions. Finally, an example is provided to illustrate our theoretical results.

Keywords: delayed matrix function; finite-time stability; delay differential equations (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (5)

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