Abstract
This paper deals with uncertain Lur’e differential inclusion systems with time delay. The set-valued mappings considered are upper semi-continuous, non-empty, closed, convex and bounded. It is proved that original systems can be reduced to their equivalent systems by introducing the dynamic multiplier. Based on the Lyapunov–Krasovskii functional, delay-dependent stability criterion is given to guarantee the robust absolute stability of the systems by LMI method. The result is new to the previous literature. Numerical examples are provided to show the effectiveness of the proposed stability condition.
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