Finite-Time Stabilization of Linear Time-Varying Continuous Systems
- 10 February 2009
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 54 (2), 364-369
- https://doi.org/10.1109/tac.2008.2008325
Abstract
In this technical note, the problem of finite time stabilization of linear time-varying continuous systems is considered. Necessary and sufficient conditions, based upon the solution to some Lyapunov differential matrix equations, are proposed for particular cases of interest. From these conditions, the design of time-varying state feedback controller guaranteeing the finite time closed-loop stability is presented. Numerical experiments illustrate the potentialities of the approach.Keywords
This publication has 13 references indexed in Scilit:
- Finite-Time Stabilization of Linear Time-Varying Continuous SystemsIEEE Transactions on Automatic Control, 2009
- Finite-time control of linear time-varying systems via output feedbackPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2005
- Necessary and sufficient conditions for finite-time stability of linear systemsPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2003
- Statistical learning methods in linear algebra and control problems: the example of finite-time control of uncertain linear systemsLinear Algebra and its Applications, 2002
- Finite-time control of linear systems subject to parametric uncertainties and disturbancesAutomatica, 2001
- Practical Stability of Nonlinear SystemsPublished by World Scientific Pub Co Pte Ltd ,1990
- Study of practical stability problems by numerical methods and optimization of beam dynamicsJournal of Applied Mathematics and Mechanics, 1987
- On practical stabilityInternational Journal of Control, 1973
- Finite time stability under perturbing forces and on product spacesIEEE Transactions on Automatic Control, 1967
- Stability of MotionPublished by Springer Science and Business Media LLC ,1967