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Novel delay-derivative-dependent stability criteria using new bounding techniques.
- Source :
-
International Journal of Robust & Nonlinear Control . Sep2013, Vol. 23 Issue 13, p1419-1432. 14p. - Publication Year :
- 2013
-
Abstract
- SUMMARY This paper studies the stability of linear systems with interval time-varying delays. By constructing a new Lyapunov-Krasovskii functional, two delay-derivative-dependent stability criteria are formulated by incorporating with two different bounding techniques to estimate some integral terms appearing in the derivative of the Lyapunov-Krasovskii functional. The first stability criterion is derived by using a generalized integral inequality, and the second stability criterion is obtained by employing a reciprocally convex approach. When applying these two stability criteria to check the stability of a linear system with an interval time-varying delay, it is shown through some numerical examples that the first stability criterion can provide a larger upper bound of the time-varying delay than the second stability criterion. Copyright © 2012 John Wiley & Sons, Ltd. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10498923
- Volume :
- 23
- Issue :
- 13
- Database :
- Academic Search Index
- Journal :
- International Journal of Robust & Nonlinear Control
- Publication Type :
- Academic Journal
- Accession number :
- 89047659
- Full Text :
- https://doi.org/10.1002/rnc.2829