Exponential estimates for retarded time-delay systems: an LMI approach
- 14 February 2005
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 50 (2) , 268-273
Abstract
Exponential estimates and sufficient conditions for the exponential stability of linear time delay systems are given. The proof make use of Lyapunov-Krasovskii functionals and the conditions are expressed in terms of linear matrix inequalities.Keywords
This publication has 16 references indexed in Scilit:
- Stability and robust stability of time-delay systems: A guided tour2005
- Lyapunov–Krasovskii approach to the robust stability analysis of time-delay systemsAutomatica, 2003
- Lyapunov equation for the stability of linear delay systems of retarded and neutral typeIEEE Transactions on Automatic Control, 2002
- On α-stability criteria of nonlinear systems with multiple time delaysJournal of the Franklin Institute, 1998
- H/sub ∞/ memoryless control with an α-stability constraint for time-delay systems: an LMI approachIEEE Transactions on Automatic Control, 1998
- Robust exponential stability of uncertain systems with time-varying delaysIEEE Transactions on Automatic Control, 1998
- H/sub ∞/ control of systems under norm bounded uncertainties in all system matricesIEEE Transactions on Automatic Control, 1994
- Delay independent stability conditions and decay estimates for time-varying functional differential equationsIEEE Transactions on Automatic Control, 1994
- α-Stability and robustness of large-scale interconnected systemsInternational Journal of Control, 1987
- On an estimate of the decay rate for stable linear delay systemsInternational Journal of Control, 1982