Simultaneous stabilization of quadratic input nonlinear systems
Résumé
In this paper simultaneous stabilization of a collection of quadratic input nonlinear systems is considered. With the help of the technique of control Lyapunov functions (CLFs), necessary and sufficient conditions for the existence of simultaneously stabilizing state feedback controller are derived. Moreover, we present a constructive method for designing continuous simultaneously stabilizing controller when the provided sufficient conditions are satisfied. To verify the obtained results, an illustrative example is presented.
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