Abstract
Nonlinear single-input affine systems represented in a canonical (normal) form are considered. The control resource is assumed to be constrained. For a closed-loop system obtained by applying a linearizing feedback, the problem of construction of an estimate of the attraction domain of zero solution is studied. A method for constructing an ellipsoidal estimate that is based on results of the absolute stability theory is suggested. Construction of the estimate reduces to solving a system of linear matrix inequalities. The discussion is illustrated by numerical examples.
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