Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10398806 | Automatica | 2011 | 4 Pages |
Abstract
Whereas the upper bound lemma for matrix cross-product, introduced by Park (1999) and modified by Moon, Park, Kwon, and Lee (2001), plays a key role in guiding various delay-dependent criteria for delayed systems, the Jensen inequality has become an alternative as a way of reducing the number of decision variables. It directly relaxes the integral term of quadratic quantities into the quadratic term of the integral quantities, resulting in a linear combination of positive functions weighted by the inverses of convex parameters. This paper suggests the lower bound lemma for such a combination, which achieves performance behavior identical to approaches based on the integral inequality lemma but with much less decision variables, comparable to those based on the Jensen inequality lemma.
Keywords
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Physical Sciences and Engineering
Engineering
Control and Systems Engineering
Authors
PooGyeon Park, Jeong Wan Ko, Changki Jeong,