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Circuits, Systems, and Signal Processing

, Volume 35, Issue 5, pp 1545–1561 | Cite as

Exponential Stability Criteria for Positive Systems with Time-Varying Delay: A Delay Decomposition Technique

  • W. ElloumiEmail author
  • D. Mehdi
  • M. Chaabane
  • G. Hashim
Article

Abstract

This paper is concerned with exponential stability analysis for linear continuous positive systems with bounded time-varying delay. Our approach is based on Lyapunov–Krasovskii functional with delay decomposition. The main idea is to divide uniformly the discrete delay interval into multiple segments and then to choose proper functionals with different weighted matrices corresponding to different segments. The synthesis of our delay-dependent sufficient stability criteria is formulated in terms of linear matrix inequalities. The proposed results are shown to be less conservative compared to other results from the literature. Some illustrative examples are given to show the effectiveness of the obtained results.

Keywords

Linear systems Positive systems Time delay Exponential stability 

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Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  1. 1.Lab-STA, National School of Engineering of SfaxUniversity of SfaxSfaxTunisia
  2. 2.Université de PoitiersPoitiers Cedex 9France
  3. 3.Computer Science DepartmentCihan UniversityErbilIraq

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