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Abstract

In this note, based on a control Lyapunov function approach, an integrated design of switching laws and feedback controllers for uncertain switched nonlinear control systems with two modes is discussed. A sufficient condition for the existence of globally asymptotically stabilizing state feedback laws (switching laws+ controllers) is derived. Moreover, an explicit rule for constructing switching laws and an explicit formula for synthesizing feedback controllers are presented. An illustrative example is given for verifying the benefit of our approach.

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