Stability Analysis and Stabilization of Continuous-Time Linear Systems with Distributed Delays
Qian Feng, Alexandre Seuret, Sing Kiong Nguang
TL;DR
This work extends stability analysis and stabilization techniques for continuous-time linear systems with distributed delays using Lyapunov-Krasovskii functionals, based on a doctoral dissertation.
Contribution
It introduces new methods for analyzing and stabilizing linear systems with distributed delays via Lyapunov-Krasovskii functionals, advancing existing control theory.
Findings
Enhanced stability criteria for systems with distributed delays
New stabilization techniques using Lyapunov-Krasovskii functionals
Application of these methods to complex linear systems
Abstract
This book is an extension of my doctoral dissertation, focusing on techniques for analyzing stability (dissipativity) and achieving stabilization of linear systems that are characterized by non-trivial distributed delays. It specifically explores the application of the Lyapunov-Krasovskii functional (LKF) approach.
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Taxonomy
TopicsStability and Control of Uncertain Systems · Neural Networks Stability and Synchronization · Stability and Controllability of Differential Equations