Abstract
The present study investigates the synthesis of sufficient conditions for finite-time boundedness and stabilisation of non-linear quadratic systems with exogenous disturbances. For this purpose, the usefulness of combining the notion of annihilator with a version of Finsler's lemma has been investigated. The obtained design conditions are expressed in terms of a set of state-dependent linear matrix inequalities. Several numerical examples are given to show the effectiveness of the authors' approach.
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