Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1209.93076
Park, PooGyeon; Ko, Jeong Wan; Jeong, Changki
Reciprocally convex approach to stability of systems with time-varying delays. (English)
[J] Automatica 47, No. 1, 235-238 (2011). ISSN 0005-1098

Summary: Whereas the upper bound lemma for matrix cross-product, introduced by Park (1999) and modified by {\it Y. S. Moon, P. Park, W. H. Kwon} and {\it Y. S. Lee} [Int. J. Control 74, No.~14, 1447--1455 (2001; Zbl 1023.93055)], plays a key role in guiding various delay-dependent criteria for delayed systems, Jensen's 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 Jensen's inequality lemma.

MSC 2000:: *93C30 Control systems governed by other functional relations
93D20 Asymptotic stability of control systems
93D99 Stability of control systems

Keywords: reciprocally convex combination; delay systems; stability

Citations: Zbl 1023.93055

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]