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.
Hysteresis Switching Design for Stabilization of Switched Neutral Systems Using Multiple Lyapunov Functionals
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Li, T, Dimirovski, GM, & Zhao, J. "Hysteresis Switching Design for Stabilization of Switched Neutral Systems Using Multiple Lyapunov Functionals." Proceedings of the 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. pp. 727-731. ASME. https://doi.org/10.1115/ESDA2012-82288
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