During the course of analysing the stability of systems with time‐varying delay, stability criteria are often shown in the form of the first‐ or second‐order polynomial functions with respect to the time‐varying delay. Therefore, the convex/concave property plays an important role in reducing the conservatism of stability criteria. In this note, the quadratic‐partitioning method is proposed to take full advantage of the convex/concave property of a quadratic function, which can further reduce the conservatism of some of existing results. Two well‐known numerical examples are given to illustrate the effectiveness of the proposed method.
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Chen et al. (2019) studied this question.
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