Stabilization Design for Uncertain Linear Positive Systems with Time-Delay

  • Yujie Zhao
  • Linling Liao
  • Xiushan CaiEmail author
  • Yanhong Liu
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 480)


Stabilization design for a class of uncertain linear positive systems with time-delay is devoted in this paper. By using the theory of positive system and the theorem of disk region, the interval observer is designed. And a control law is acquired based on the state of interval observer. Then, it is proved that the control law such that the closed-loop system is positive and asymptotically stable. Finally, two simulation examples are given to illustrate the effectiveness of the proposed method.


Time-delay Uncertain positive system Interval observer Stabilization 


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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Yujie Zhao
    • 1
  • Linling Liao
    • 1
  • Xiushan Cai
    • 1
    Email author
  • Yanhong Liu
    • 2
  1. 1.College of Mathematics, Physics, and Information EngineeringZhejiang Normal UniversityJinhuaChina
  2. 2.School of Electrical EngineeringZhengzhou UniversityZhengzhouChina

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