Title :
A Lagrangian dual approach to the Generalized KYP lemma
Author :
Seungil You ; Doyle, John C.
Author_Institution :
Control & Dynamical Syst., California Inst. of Technol., Pasadena, CA, USA
Abstract :
This paper presents a new, elementary proof for the Generalized Kalman-Yakubovich-Popov lemma based on Lagrangian duality, and a new sufficient Linear Matrix Inequality test for a bandpass type frequency bound. Numerical experiments have failed to find a gap, so it is possible that the new LMI test may be necessary.
Keywords :
duality (mathematics); linear matrix inequalities; stability; theorem proving; LMI test; Lagrangian dual approach; Lagrangian duality; bandpass type frequency bound; elementary proof; generalized KYP lemma; generalized Kalman-Yakubovich-Popov lemma; stability; sufficient linear matrix inequality test; Conferences; Frequency-domain analysis; Linear matrix inequalities; Matrix converters; Optimization; Standards; Upper bound;
Conference_Titel :
Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on
Conference_Location :
Firenze
Print_ISBN :
978-1-4673-5714-2
DOI :
10.1109/CDC.2013.6760247
