English

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

Optimization and Control 2015-09-18 v1

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.

Keywords

Cite

@article{arxiv.1509.05085,
  title  = {Weighted Orthogonal Polynomials-Based Generalization of Wirtinger-Type Integral Inequalities for Delayed Continuous-Time Systems},
  author = {Xian Zhang and Yuanyuan Han and Yantao Wang and Cheng Gong},
  journal= {arXiv preprint arXiv:1509.05085},
  year   = {2015}
}
R2 v1 2026-06-22T10:58:28.770Z