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Delay-dependent stability and stabilisation of continuous 2D delayed systems with saturating control

Author

Listed:
  • Abdelaziz Hmamed
  • Said Kririm
  • Abdellah Benzaouia
  • Fernando Tadeo

Abstract

This paper deals with the stabilisation problem of continuous two-dimensional (2D) delayed systems, in the presence of saturations on the control signals. For this, a new delay decomposition approach is proposed to deal with the stability and stabilisation issues. The idea is that the range of variation of each delay is divided into segments, and a specific Lyapunov– Krasovskii functional is used that contains different weight matrices in each segment. Then, based on this approach, new delay-dependent stability and stabilisation criteria for continuous 2D delayed systems are derived. These criteria are less conservative and include some existing results as special cases. Some numerical examples are provided to show that a significant improvement is achieved using the proposed approach.

Suggested Citation

  • Abdelaziz Hmamed & Said Kririm & Abdellah Benzaouia & Fernando Tadeo, 2016. "Delay-dependent stability and stabilisation of continuous 2D delayed systems with saturating control," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(12), pages 3004-3015, September.
    • Handle: RePEc:taf:tsysxx:v:47:y:2016:i:12:p:3004-3015
    DOI: 10.1080/00207721.2015.1063172
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