Guaranteed Cost Control for Delayed GRNs

  • Xian ZhangEmail author
  • Yantao Wang
  • Ligang Wu
Part of the Studies in Systems, Decision and Control book series (SSDC, volume 207)


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.


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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.School of Mathematical ScienceHeilongjiang UniversityHarbinChina
  2. 2.School of AstronauticsHarbin Institute of TechnologyHarbinChina

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