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Hysteresis Switching Design for Stabilization of Switched Neutral Systems Using Multiple Lyapunov Functionals

[+] Author Affiliations
Tai-Fang Li, Jun Zhao

Northeastern University, Shenyang, China

Georgi M. Dimirovski

Dogus University, Istanbul, TurkeySS Cyryl and Methodius University, Skopje, Macedonia

Paper No. ESDA2012-82288, pp. 727-731; 5 pages
doi:10.1115/ESDA2012-82288
From:
  • ASME 2012 11th Biennial Conference on Engineering Systems Design and Analysis
  • Volume 1: Advanced Computational Mechanics; Advanced Simulation-Based Engineering Sciences; Virtual and Augmented Reality; Applied Solid Mechanics and Material Processing; Dynamical Systems and Control
  • Nantes, France, July 2–4, 2012
  • Conference Sponsors: International
  • ISBN: 978-0-7918-4484-7
  • Copyright © 2012 by ASME

abstract

The stabilization problem for a class of switched neutral systems with a discrete time-varying delay is studied in this paper. The upper bound of derivative of the discrete time-varying delay can be an arbitrary given constant which is not necessary to be less than one. Each subsystem is not assumed to be stable. A hysteresis switching law is designed based on multiple Lyapunov functionals to avoid sliding modes and chattering phenomena. The obtained delay-dependent stabilization criterion is given in terms of linear matrix inequalities (LMIs). The result is illustrated by an example.

Copyright © 2012 by ASME

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