Characterization of Lyapunov Functions for Smooth Nonlinear Systems Using Lmis
نویسنده
چکیده
A generic parameterization of Lyapunov function candidates is suggested for a quite general class of non-autonomous smooth nonlinear systems. It is shown that conditions for the existence of a Lyapunov function that guarantees uniform exponential stability can be formulated as a set of linear matrix inequalities. Hence, computation of the Lyapunov function involves the solution of a convex optimization problem for which reasonably eecient algorithms exist. The tradeoo between accuracy and computational complexity as well as possible conservativeness of the procedure is given particular attention.
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تاریخ انتشار 2007