A Cutting Plane Method for Solving KYP-SDPs
2008 (English)In: Automatica, ISSN 0005-1098, Vol. 44, no 2, 418-429 p.Article in journal (Refereed) Published
Semidefinite programs originating from the Kalman-Yakubovich-Popov lemma are convex optimization problems and there exist polynomial time algorithms that solve them. However, the number of variables is often very large making the computational time extremely long. Algorithms more efficient than general purpose solvers are thus needed. To this end structure exploiting algorithms have been proposed, based on the dual formulation. In this paper a cutting plane algorithm is proposed. In a comparison with a general purpose solver and a structure exploiting solver it is shown that the cutting plane based solver can handle optimization problems of much higher dimension.
Place, publisher, year, edition, pages
Elsevier, 2008. Vol. 44, no 2, 418-429 p.
Semidefinite programming, Kalman-Yakubovich-Popov lemma, Cutting plane method, Stability analysis
National CategoryControl Engineering
IdentifiersURN: urn:nbn:se:liu:diva-44704DOI: 10.1016/j.automatica.2007.06.026Local ID: 77384OAI: oai:DiVA.org:liu-44704DiVA: diva2:265566
© 2007 Elsevier Ltd. All rights reserved.2009-10-102009-10-102013-07-22