Quan Quan is also with the State Key Laboratory of Virtual Reality Technology and Systems, Beihang University, Beijing 100191, China
A new method to obtain ultimate bounds and convergence rates for perturbed time-delay systems
Version of Record online: 21 SEP 2011
Copyright © 2011 John Wiley & Sons, Ltd.
International Journal of Robust and Nonlinear Control
Volume 22, Issue 16, pages 1873–1880, 10 November 2012
How to Cite
Quan, Q. and Cai, K.-Y. (2012), A new method to obtain ultimate bounds and convergence rates for perturbed time-delay systems. Int. J. Robust Nonlinear Control, 22: 1873–1880. doi: 10.1002/rnc.1793
- Issue online: 8 OCT 2012
- Version of Record online: 21 SEP 2011
- Manuscript Accepted: 4 JUL 2011
- Manuscript Revised: 17 MAY 2011
- Manuscript Received: 1 JAN 2011
- time-delay systems;
- Lyapunov–Krasovskii functionals
A new method is proposed to determine the ultimate bounds and the convergence rates for perturbed time-delay systems when the Lyapunov–Krasovskii functionals and their derivatives are available. Compared with existing methods, the proposed method is more concise, more widely applicable, and the obtained results are less conservative. To show the three features, the proposed method is applied to improve three existing results, respectively. Copyright © 2011 John Wiley & Sons, Ltd.