Abstract
This paper studies an exponential observer design method for a kind of differential inclusion systems. The set-valued term is monotone, while the nonlinear term satisfies incremental quadratic constraints. The extended-type observer framework for the system is proposed, and the existence conditions are obtained by the constraints of linear matrix inequalities and linear matrix equalities. Specially, the algorithm of computing the incremental multiplier matrix is also discussed. The availability of the proposed method is verified by three numerical examples.
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