Title :
Outer approximation algorithms for KYP-based LMIs
Author :
Parrilo, Pablo A.
Author_Institution :
California Inst. of Technol., Pasadena, CA, USA
Abstract :
The performance of an outer approximation approximation algorithm for a class of linear matrix inequalities (LMIs) derived from the Kalman-Yakubovich-Popov lemma is analyzed. It is shown that for a specific class of control motivated problems, the optimal solution is achieved in a finite number of iterations. Possible modifications for improving performance are discussed
Keywords :
approximation theory; convergence; matrix algebra; optimisation; Kalman-Yakubovich-Popov lemma; control motivated problems; linear matrix inequalities; outer approximation algorithms; Algorithm design and analysis; Application software; Approximation algorithms; Control systems; Control theory; Eigenvalues and eigenfunctions; Frequency; Linear matrix inequalities; Optimal control; Performance analysis;
Conference_Titel :
American Control Conference, 2001. Proceedings of the 2001
Conference_Location :
Arlington, VA
Print_ISBN :
0-7803-6495-3
DOI :
10.1109/ACC.2001.946378
