Asymptotic Stability of a Class of Non-linear Singularly Perturbed Systems2 |
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Authors: | Joe Hong Chow |
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Institution: | Coordinated Science Laboratory and Department of Electrical Engineering University of Illinois, Urbana, Illinois USA 61801 |
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Abstract: | Sufficient conditions are obtained to guarantee the asymptotic stability of a class of non-linear singularly perturbed systems. A procedure for constructing a Lyapunov function for such a class of systems is given, and a clearly defined domain of attraction of the equilibrium is obtained. A stabilizing feedback control for such systems is also proposed. |
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