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arXiv · 1509.05085

Weighted Orthogonal Polynomials-Based Generalization of Wirtinger-Type Integral Inequalities for Delayed Continuous-Time Systems

Xian Zhang·Yuanyuan Han·Yantao Wang·Cheng Gong
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Abstract

In the past three years, many researchers have proven and/or employed some Wirtinger-type integral inequalities to establish less conservative stability criteria for delayed continu\-ous-time systems. In this present paper, we will investigate weighted orthogonal polynomials-based integral inequalities which is a generalization of the existing Jensen's inequalities and Wirtinger-type integral inequalities.

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Xian Zhang, Yuanyuan Han, Yantao Wang, Cheng Gong. 2015-09-16. Weighted Orthogonal Polynomials-Based Generalization of Wirtinger-Type Integral Inequalities for Delayed Continuous-Time Systems. https://arxiv.org/abs/1509.05085

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