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Discretized Jensen’s inequality : an alternative vision of the reciprocally convex combination lemma**This paper was not presented at any IFAC meeting. This work is supported by the ANR Project SCIDiS Corresponding author A. Seuret. e-mail: aseuret@laas.fr, Tel. +33-561337890. Fax +33-561336411
- Source :
- IFAC-PapersOnLine. 49:136-140
- Publication Year :
- 2016
- Publisher :
- Elsevier BV, 2016.
-
Abstract
- The analysis of time-varying delay systems has attracted many researchers over the last two decades. One of the major contribution within this field is the recent reciprocally convex combination lemma. The relevance of this lemma arises from the derivation of stability conditions using Jensen’s inequality. The main interest of this lemma is the reduction of the number of decision variables while keeping the same level of conservatism. In this paper, we provide an alternative vision of this inequality through a new proof issued from the recent development on integral inequalities. The benefit of this proof relies on the derivation of an exact expression of the conservatism. A discussion is finally proposed at the end of the paper to point out the possible extensions of this approach.
- Subjects :
- 0209 industrial biotechnology
Lemma (mathematics)
Linear matrix inequality
02 engineering and technology
Céa's lemma
Conservatism
Stability conditions
020901 industrial engineering & automation
Control and Systems Engineering
0202 electrical engineering, electronic engineering, information engineering
Calculus
020201 artificial intelligence & image processing
Log sum inequality
Convex combination
Jensen's inequality
Mathematical economics
Mathematics
Subjects
Details
- ISSN :
- 24058963
- Volume :
- 49
- Database :
- OpenAIRE
- Journal :
- IFAC-PapersOnLine
- Accession number :
- edsair.doi...........33d24f1012c2251e52eb7f29091e8a33