By Topic

On the Equivalent Relationship Between Generalized Performance, Robust Stability, and Quadratic Stability

Sign In

Full text access may be available.

To access full text, please use your member or institutional sign in.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

2 Author(s)
Chia-Po Wei ; Dept. of Electr. Eng., Nat. Sun Yat-Sen Univ., Kaohsiung, Taiwan ; Lee, L.

This technical note addresses the equivalent relationship between notions of generalized performance, robust stability, and quadratic stability for the feedback connection , where is the transfer matrix of a nominal system and describes the set of uncertainty. By defining the three notions in a more general setting, the conventional equivalent relationship between robust stability and quadratic stability with respect to the norm-bound uncertainty (respectively, the positive real uncertainty) and the corresponding performance (respectively, the extended strict positive realness) has been proved only special case of the results derived in the technical note. A version of the Kalman-Yakubovich-Popov lemma, which plays a crucial role in establishing the equivalence between the generalized performance and the quadratic stability, is also presented.

Published in:

Automatic Control, IEEE Transactions on  (Volume:55 ,  Issue: 12 )