Title :
Quadratic stability and the positivity theorem or circle theorem
Author_Institution :
Dept. of Aerosp. Eng., Michigan Univ., Ann Arbor, MI, USA
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;
Conference_Titel :
Decision and Control, 1993., Proceedings of the 32nd IEEE Conference on
Conference_Location :
San Antonio, TX
Print_ISBN :
0-7803-1298-8
DOI :
10.1109/CDC.1993.325797
