Abstract

This paper is concerned with absolute stability analysis for time-delay Lur'e systems with both sector- and slope-restricted nonlinearities. A new delay-dependent stability criterion is given by using a Lur'e-Postnikov functional. The additional slope restrictions on the nonlinearities play important roles in improving the absolute stability conditions. Numerical examples are presented to demonstrate the effectiveness of the proposed criterion. Moreover, a frequency domain interpretation for the criterion is presented as well.

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