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2014 NEW CRITERIA FOR EXPONENTIAL STABILITY OF LINEAR TIME-VARYING DIFFERENTIAL SYSTEMS WITH DELAY
Pham Huu Anh Ngoc, Cao Thanh Tinh
Taiwanese J. Math. 18(6): 1759-1774 (2014). DOI: 10.11650/tjm.18.2014.4125

Abstract

General linear time-varying differential systems with delay are considered. Several explicit criteria for exponential stability are presented. Furthermore, an explicit robust stability bound for systems subject to time-varying perturbations is given. Two examples are given to illustrate the obtained results. To the best of our knowledge, the results of this paper are new.

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Pham Huu Anh Ngoc. Cao Thanh Tinh. "NEW CRITERIA FOR EXPONENTIAL STABILITY OF LINEAR TIME-VARYING DIFFERENTIAL SYSTEMS WITH DELAY." Taiwanese J. Math. 18 (6) 1759 - 1774, 2014. https://doi.org/10.11650/tjm.18.2014.4125

Information

Published: 2014
First available in Project Euclid: 21 July 2017

zbMATH: 1357.34123
MathSciNet: MR3284030
Digital Object Identifier: 10.11650/tjm.18.2014.4125

Subjects:
Primary: 34K20
Secondary: 34K15

Keywords: Exponential stability , linear time-varying differential systems

Rights: Copyright © 2014 The Mathematical Society of the Republic of China

Vol.18 • No. 6 • 2014
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