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Guaranteed cost control for delayed GRNs

  • Xian Zhang*
  • , Yantao Wang
  • , Ligang Wu
  • *Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

This chapter addresses the problem of state feedback guaranteed cost control for uncertain GRNs with interval time-varying delays. The involved norm-bounded uncertainties are first transformed into external disturbances, and then an LKF approach combined with the convex technique and cone complementarity linearization technique is proposed to investigate a sufficient condition for the existence of expected controllers. Thereby, we design a state feedback guaranteed cost controller which guarantees the resultant closed-loop system is robustly asymptotically stable and its linear quadratic performance has an upper bound. A numerical example is provided to show the effectiveness of the proposed method.

Original languageEnglish
Title of host publicationStudies in Systems, Decision and Control
PublisherSpringer International Publishing
Pages183-196
Number of pages14
DOIs
StatePublished - 2019
Externally publishedYes

Publication series

NameStudies in Systems, Decision and Control
Volume207
ISSN (Print)2198-4182
ISSN (Electronic)2198-4190

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