Using exponential time-varying gains for sampled-data stabilization and estimation

Tarek Ahmed-Ali, Emilia Fridman, Fouad Giri, Laurent Burlion, Françoise Lamnabhi-Lagarrigue

Research output: Contribution to journalArticlepeer-review

52 Scopus citations


This paper provides exponential stability results for two system classes. The first class includes a family of nonlinear ODE systems while the second consists of semi-linear parabolic PDEs. A common feature of both classes is that the systems they include involve sampled-data states and a time-varying gain. Sufficient conditions ensuring global exponential stability are established in terms of Linear Matrix Inequalities (LMIs) derived on the basis of Lyapunov-Krasovskii functionals. The established stability results prove to be useful in designing exponentially convergent observers based on sampled-data measurements. It is shown throughout simulated examples from the literature that the introduction of time-varying gains is beneficial to the enlargement of sampling intervals while preserving the stability of the system.

Original languageEnglish (US)
Pages (from-to)244-251
Number of pages8
StatePublished - May 2016
Externally publishedYes

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering


  • Sampled-data observers
  • Sampled-data systems
  • Time-varying gain


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