Title :
On the necessity of the matching condition in robust stabilization
Author :
Swei, S.M. ; Corless, M.
Author_Institution :
Sch. of Aeronaut. & Astronaut., Purdue Univ., West Lafayette, IN, USA
Abstract :
The authors consider a class of scalar-input uncertain linear systems which contain a single structured uncertain term. The main result is that the matching condition is necessary to achieve quadratic stability with an arbitrary degree of stability. The results are illustrated with a simple example
Keywords :
stability criteria; matching condition; quadratic stability; robust stabilization; scalar-input uncertain linear systems; single structured uncertain term; Control systems; Convergence; Linear systems; Lyapunov method; Riccati equations; Robustness; Stability; Sufficient conditions; Uncertain systems; Uncertainty;
Conference_Titel :
Decision and Control, 1991., Proceedings of the 30th IEEE Conference on
Conference_Location :
Brighton
Print_ISBN :
0-7803-0450-0
DOI :
10.1109/CDC.1991.261823