Note on observer for lur'e differential inclusion systems

This note considers the reduced-order observer of Lur'e differential inclusion systems. The set-valued mappings in the differential inclusions are maximal monotone, but may not be compact and bounded. It is verified that if there exists a full-order observer, then there is also a reduced-order observer. The construction of the observer as well as the convergence and well-posedness of the observer are presented. An example is provided to illustrate the validation of the reduced-order observer.

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