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Stability and stabilizability of dynamical systems with multiple time-varying delays: delay-dependent criteria

Dehghan Mehdi and El-Kébir Boukas

Article (2003)

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Abstract

This paper deals with the class of uncertain systems with multiple time delays. The stability and stabilizability of this class of systems are considered. Their robustness are also studied when the norm-bounded uncertainties are considered. Linear matrix inequalities (LMIs) delay-dependent sufficient conditions for both stability and stabilizability and their robustness are established to check if a system of this class is stable and/or is stabilizable. Some numerical examples are provided to show the usefulness of the proposed results.

Subjects: 2100 Mechanical engineering > 2100 Mechanical engineering
Department: Department of Mechanical Engineering
PolyPublie URL: https://publications.polymtl.ca/3382/
Journal Title: Mathematical Problems in Engineering (vol. 2003, no. 4)
Publisher: Hindawi
DOI: 10.1155/s1024123x03206013
Official URL: https://doi.org/10.1155/s1024123x03206013
Date Deposited: 06 Nov 2018 13:32
Last Modified: 07 Apr 2025 12:23
Cite in APA 7: Mehdi, D., & Boukas, E.-K. (2003). Stability and stabilizability of dynamical systems with multiple time-varying delays: delay-dependent criteria. Mathematical Problems in Engineering, 2003(4), 137-152. https://doi.org/10.1155/s1024123x03206013

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