New Absolute Stability Condition for Time-Delay Systems with Sector-Bounded Nonlinearity

This paper is devoted to the absolute stability analysis of Lurie systems with time delay. A new delay-dependent Lyapunov function analyzing approach is proposed to reduce the conservativeness in computing the upper bound of the maximum allowed delay. Some new stability conditions are developed in terms of linear matrix inequalities. Examples are provided to demonstrate the reduced conservatism of the proposed methods.

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