Pole assignment stabilization for a class of switched nonlinear time-varying delay systems
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1Laboratory of Automation, Electrical Systems and Environment (LAESE), National Engineering School of Monastir (ENIM), Ibn El Jazzar, Skaness, 5019, Monastir, University of Monastir, Tunisia; National School of Advanced Science and Technology of Borj Cedria, BP 122 Hammam-Chott 1164, Tunisie, University of Carthage, Tunisia.
Abstract:
This paper investigates the pole assignment stabilization with memory state feedback controllers for switched nonlinear time-varying delay systems. More general time-varying delays which depend on the subsystem number are considered. Based on novel common Lyapunov functions (CLFs), the aggregation techniques, the proprieties and the Borne-Gentina criterion, new algebraic stabilization criteria are established. The proposed design can guarantee the stability of the closed-loop systems under arbitrary switching. It allows to avoid researching a common Lyapunov function (CLF), considered a difficult matter. Four illustrate examples were finally utilized to exhibit the effectiveness of the obtained results.
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