Existence of Carathe/spl acute/odory solutions in nonlinear systems with discontinuous switching feedback controllers |
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Authors: | Seung-Jean Kim In-Joong Ha |
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Affiliation: | Dept. of Electr. Eng., Stanford Univ., CA, USA; |
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Abstract: | In this note, we consider the existence of a Carathe/spl acute/odory solution in a single-input-single-output nonlinear system with a discontinuous switching feedback controller. The main contribution is to show that if the nonlinear system can be transformed into a global normal form, then we can specify the value of the discontinuous switching feedback controller on the switching hypersurface so that the closed-loop system has a Carathe/spl acute/odory solution. |
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