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Non-smooth simultaneous stabilization of nonlinear systems: An interpolation method
Authors:Bertina Ho-Mock-Qai  Wijesuriya P Dayawansa
Abstract:In this paper, we introduce a method which enables us to construct a continuous simultaneous stabilizer for pairs of systems in which cannot be simultaneously stabilized by means of C1 feedback. We extend this method to higher-dimensional systems and show that any pair of asymptotically stabilizable nonlinear systems can be simultaneously stabilized (not asymptotically) by means of continuous feedback.
Keywords:Continuous feedback  Simultaneous stabilization  Partition of unity  Nonlinear systems
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