Improvement on reciprocally convex combination lemma and quadratic function negative-definiteness lemma
type: Item
instance of: scholarly article
title: Improvement on reciprocally convex combination lemma and quadratic function negative-definiteness lemma
zbMATH Open document ID: 1481.93100
author: Jun Chen
author: Shengyuan Xu
author: Ju H. Park
published in: Journal of the Franklin Institute
publication date: 2022-01-25T00:00:00Z
Mathematics Subject Classification ID: 93D05
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 93C43
zbMATH DE Number: 7463974
zbMATH Keywords: stability
zbMATH Keywords: linear systems
zbMATH Keywords: time-varying delay
zbMATH Keywords: reciprocally convex combination lemma
MaRDI profile type: Publication
Wikidata QID: Q124802027
full work available at URL: j.jfranklin.2021.11.029
OpenAlex ID: W4200123795
cites work: Stability of time-delay systems
cites work: Dynamic Systems with Time Delays: Stability and Control
cites work: Overview of recent advances in stability of linear systems with time‐varying delays
cites work: A refined input delay approach to sampled-data control
cites work: Stability analysis of systems with time-varying delay via relaxed integral inequalities
cites work: Stabilization of Stochastic Nonlinear Delay Systems With Exogenous Disturbances and the Event-Triggered Feedback Control
cites work: Convergence and Equivalence Results for the Jensen's Inequality—Application to Time-Delay and Sampled-Data Systems
cites work: Note on stability of linear systems with time-varying delay
cites work: Stability analysis of continuous-time systems with time-varying delay using new Lyapunov-Krasovskii functionals
cites work: Necessary and Sufficient Conditions of Exponential Stability for Delayed Linear Discrete-Time Systems
cites work: Stability analysis of systems with time-varying delays using overlapped switching Lyapunov Krasovskii functional
cites work: Delays-dependent region partitioning approach for stability criterion of linear systems with multiple time-varying delays
cites work: Auxiliary function-based integral inequalities for quadratic functions and their applications to time-delay systems
cites work: Single/Multiple Integral Inequalities With Applications to Stability Analysis of Time-Delay Systems
cites work: Notes on Stability of Time-Delay Systems: Bounding Inequalities and Augmented Lyapunov-Krasovskii Functionals
cites work: Relaxed conditions for stability of time-varying delay systems
cites work: A novel Lyapunov functional for stability of time-varying delay systems via matrix-refined-function
cites work: Generalized reciprocally convex combination lemmas and its application to time-delay systems
cites work: Reciprocally convex approach to stability of systems with time-varying delays
cites work: An improved reciprocally convex inequality and an augmented Lyapunov-Krasovskii functional for stability of linear systems with time-varying delay
cites work: Wirtinger-based integral inequality: application to time-delay systems
cites work: Stability of Linear Systems With Time-Varying Delays Using Bessel–Legendre Inequalities
cites work: Free-Matrix-Based Integral Inequality for Stability Analysis of Systems With Time-Varying Delay
cites work: A generalized free-matrix-based integral inequality for stability analysis of time-varying delay systems
cites work: Stability analysis of linear systems with interval time-varying delays utilizing multiple integral inequalities
cites work: Enhanced stability criteria of neural networks with time-varying delays via a generalized free-weighting matrix integral inequality
cites work: New results on stability analysis for systems with discrete distributed delay
cites work: Hierarchical stability conditions for time-varying delay systems via an extended reciprocally convex quadratic inequality
cites work: Further improvement of Jensen inequality and application to stability of time-delayed systems
cites work: A relaxed quadratic function negative-determination lemma and its application to time-delay systems
cites work: Further refinements in stability conditions for time-varying delay systems
DOI: 10.1016/J.JFRANKLIN.2021.11.029
Recommended article: Q5494792
Recommended article: THE COMBINATION THEOREM AND QUASICONVEXITY
Recommended article: Improvement of fractional Hermite-Hadamard type inequality for convex functions
Recommended article: Some Improvements on Hermite-Hadamard's Inequalities for s-convex Functions
Recommended article: Q3716821
Recommended article: Improvements of trace inequalities for convex functions
Recommended article: Q3517440
Recommended article: On the definiteness of quadratic functionals
Recommended article: Quasi-convex functions and Hadamard's inequality
Recommended article: Q5090703
description: scientific article; zbMATH DE number 7463974