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Adaptive stabilization of a class of uncertain nonlinear systems: A differential inclusion approach
Authors:E. P. Ryan
Affiliation:1. School of Mathematics and Statistics, Shandong Normal University, Ji’nann250014, PR China;2. Department of Mathematics and Statistics, Memorial University of Newfoundland, St John’s A1C5S7, Canada;3. Shandong Province Key Laboratory of Medical Physics and Image Processing Technology, Shandong Normal University, Jinan, PR China;4. School of Mathematics, Southeast University, Nanjing 210096, PR China;5. University of Carthage, Faculty of Sciences of Bizerta, Department of Mathematics, Research Units of Mathematics and Applications UR13ES47, Zarzouna, Bizerta 7021, Tunisia
Abstract:Within the framework of controlled differential inclusions, a stabilizing strategy is developed for a class of uncertain nonlinear dynamical systems. The strategy has a linear plus discontinuous output feedback structure with bounded adaptive scalar gain.
Keywords:Adaptive control   Differential inclusions   Nonlinear feedback   Uncertain dynamical systems
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