Stability analysis of systems with time‐varying delay: a quadratic‐partitioning method

By Ju H. Park, Shengyuan Xu. IET Control Theory & Applications, 2019

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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.

Subfields: Computational Theory and Mathematics, Computer Networks and Communications, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/5f049921c8d1a9791697e318c95be9b19de0f721