DocumentCode
2111908
Title
Quadratic stability and the positivity theorem or circle theorem
Author
Shim, Duksun
Author_Institution
Dept. of Aerosp. Eng., Michigan Univ., Ann Arbor, MI, USA
fYear
1993
fDate
15-17 Dec 1993
Firstpage
3218
Abstract
Studies the quadratic stability analysis problem for linear time-invariant multi-input multi-output systems which have time-varying positive real or sector-bounded uncertainty feedback. The author proves that the positivity theorem and circle theorem are necessary and sufficient conditions for quadratic stability, for positive real and sector-bounded feedback, respectively
Keywords
feedback; linear systems; multivariable control systems; stability; stability criteria; circle theorem; linear time-invariant multi-input multi-output systems; necessary and sufficient conditions; positivity theorem; quadratic stability; sector-bounded uncertainty feedback; time-varying positive real feedback; Aerospace engineering; Lyapunov method; MIMO; Output feedback; Robust stability; Stability analysis; State feedback; Sufficient conditions; Time varying systems; Uncertainty;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 1993., Proceedings of the 32nd IEEE Conference on
Conference_Location
San Antonio, TX
Print_ISBN
0-7803-1298-8
Type
conf
DOI
10.1109/CDC.1993.325797
Filename
325797
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