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

2015/09/16 by Xian Zhang, Zhang, Xian, Yuanyuan Han +5
Engineering · #Control Systems and Identification #Control and Stability of Dynamical Systems #FOS: Mathematics #Optimization and Control (math.OC) #Stability and Control of Uncertain Systems

paper · pdf · doi:10.48550/arxiv.1509.05085

openalex publication_date 2015/09/16 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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.

Related

• Generalized Jensen Inequalities with Application to Stability Analysis of Systems with Distributed Delays over Infinite Time-Horizons
• General Integral Inequalities Including Weight Functions
• Further analysis of weighted integral inequalities for improved exponential stability analysis of time delay neural networks systems
• A note on relationship between some bounding inequalities in stability analysis of time-delay systems
• Weighted operator-valued function spaces applied to the stability of delay systems