Abstract

Based on the free-matrix-based inequality methods, a parameter-dependent free-matrix-based double integral inequality is proposed in this paper, which includes the Wirtinger-based double integral inequality and free-matrix-based double integral inequality as its special cases. By introducing some free parameters and matrices into the inequality, more freedom can be provided in bounding the quadratic double integral. Furthermore, to investigate the effectiveness of the proposed inequality, a new delay dependent stability criterion is derived in terms of linear matrix inequalities. Numerical examples are given to demonstrate the advantages of the proposed method.

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