DocumentCode
488971
Title
Exponential Stability of Singularly Perturbed Systems
Author
Corless, Martin ; Glielmo, Luigi
Author_Institution
School of Aeronautics and Astronautics, Purdue University, West Lafayette, Indiana 47907, USA
fYear
1991
fDate
26-28 June 1991
Firstpage
1691
Lastpage
1696
Abstract
In this paper we present some results and properties related to the exponential stability of singularly perturbed systems. Our main result is that, if both the reduced order system and the boundary-layer system are exponentially stable, then the full order system is exponentially stable and its rate of convergence approaches that of the reduced order system as the perturbation parameter approaches zero. Exponentially decaying norm bounds are given for the "slow" and "fast" components of the full order system trajectories.
Keywords
Convergence; Differential equations; Reduced order systems; Stability;
fLanguage
English
Publisher
ieee
Conference_Titel
American Control Conference, 1991
Conference_Location
Boston, MA, USA
Print_ISBN
0-87942-565-2
Type
conf
Filename
4791669
Link To Document