Dixon resultant theory for stability analysis of distributed delay systems and enhancement of delay robustness

DOI10.1016/j.jfranklin.2022.05.034OpenAlexW4281738155MaRDI QIDQ2159991

Zhili Long, Jiazhi Cai, Shenghui Guo, Hanlin Hong, Peyman Firoozy, Qing-Bin Gao

Publication date: 2 August 2022

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfranklin.2022.05.034

Mathematics Subject Classification ID

Systems theory; control (93-XX) Information and communication theory, circuits (94-XX)

Related Items (4)

A general framework for the exact stability analysis of love dynamics with four independent time delays ⋮ Complete stability assessment of LTI systems with multiple constant-coefficient distributed delays using the improved frequency sweeping framework ⋮ Robust stabilization of uncertain nonlinear systems with infinite distributed input delays ⋮ Stability and Hopf bifurcation of a love model with two delays

Cites Work

• Unnamed Item
• Unnamed Item
• Bounds of imaginary spectra of LTI systems in the domain of two of the multiple time delays
• Complexity issues in robust stability of linear delay-differential systems
• Distributed delay input shaper design by optimizing smooth kernel functions
• Bifurcations in an internet congestion control system with distributed delay
• A relaxed quadratic function negative-determination lemma and its application to time-delay systems
• Combination of sign inverting and delay scheduling control concepts for multiple-delay dynamics
• Complete stability robustness of third-order LTI multiple time-delay systems
• Stability Analysis of Uniformly Distributed Delay Systems: A Frequency-Sweeping Approach
• Stability of Traffic Flow Behavior with Distributed Delays Modeling the Memory Effects of the Drivers
• Stability Robustness of Retarded LTI Systems with Single Delay and Exhaustive Determination of Their Imaginary Spectra
• A Frequency-Sweeping Framework for Stability Analysis of Time-Delay Systems
• Frequency sweeping tests for stability independent of delay
• Mapping Based Algorithm for Large-Scale Computation of Quasi-Polynomial Zeros
• Stability analysis for a class of distributed delay systems with constant coefficients by using a frequency‐sweeping approach
• Optimal sign inverting control for time-delayed systems, a concept study with experiments
• An exact method for the stability analysis of time-delayed linear time-invariant (LTI) systems
• Stability Robustness Analysis of Multiple Time- Delayed Systems Using “Building Block” Concept
• Advanced Clustering With Frequency Sweeping Methodology for the Stability Analysis of Multiple Time-Delay Systems
• Extended Kronecker Summation for Cluster Treatment of LTI Systems with Multiple Delays

This page was built for publication: Dixon resultant theory for stability analysis of distributed delay systems and enhancement of delay robustness