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Discrete-time systems with time-varying time delay: Stability and stabilizability

El-Kébir Boukas

Article (2006)

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Cite this document: Boukas, E.-K. (2006). Discrete-time systems with time-varying time delay: Stability and stabilizability. Mathematical Problems in Engineering, 2006, p. 42489. doi:10.1155/mpe/2006/42489
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This paper deals with the class of linear discrete-time systems with varying time delay. The problems of stability and stabilizability for this class of systems are considered. Given an upper bound and a lower bound on the time-varying delay, sufficient conditions for checking the stability of this class of systems are developed. A control design algorithm is also provided. All the results developed in this paper are in the LMI formalism which makes their solvability easier using existing tools. A numerical example is provided to show the effectiveness of the established results.

Open Access document in PolyPublie
Subjects: 2100 Génie mécanique > 2100 Génie mécanique
2950 Mathématiques appliquées > 2952 Systèmes linéaires et non linéaires
Department: Département de génie mécanique
Research Center: Non applicable
Date Deposited: 11 Jan 2019 16:23
Last Modified: 12 Jan 2019 01:20
PolyPublie URL: https://publications.polymtl.ca/3385/
Document issued by the official publisher
Journal Title: Mathematical Problems in Engineering (vol. 2006)
Publisher: Hindawi
Official URL: https://doi.org/10.1155/mpe/2006/42489


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