Stability of Continuous-Time Delay-Difference Equations
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Beschreibung
This book studies the stability analysis of continuous time delay-difference equations and their application in the predictor feedback control of input-delayed systems. Stability analysis for delay-difference equations is a central topic and is typically addressed through two methods: frequency-domain methods, which provide nonconservative conditions but are challenging for control synthesis; time-domain LKF methods, which are tractable but often conservative. This book analyzes the stability from both perspectives, deriving stability conditions via LMIs, characteristic equations, and spectral radius by using the KYP lemma, Jensen inequality, and the delay decomposition technique. It systematically investigates stability under various delay types (point, distributed, mixed delays) and Markovian switching and then applies the results to predictor feedback control. It is a useful resource for researchers, engineers, and graduate students in control, applied mathematics, and engineering.
This book studies the stability analysis of continuous time delay-difference equations and their application in the predictor feedback control of input-delayed systems. Stability analysis for delay-difference equations is a central topic and is typically addressed through two methods: frequency-domain methods, which provide nonconservative conditions but are challenging for control synthesis; time-domain LKF methods, which are tractable but often conservative. This book analyzes the stability from both perspectives, deriving stability conditions via LMIs, characteristic equations, and spectral radius by using the KYP lemma, Jensen inequality, and the delay decomposition technique. It systematically investigates stability under various delay types (point, distributed, mixed delays) and Markovian switching and then applies the results to predictor feedback control. It is a useful resource for researchers, engineers, and graduate students in control, applied mathematics, and engineering.
Provides a study on the stability of linear continuous-time delay-difference equations with different delay Studies the robustness problem of the predictor feedback control of linear systems with input delays Focuses on point, multiple, and distributed delays, including exponential kernel and mixed delay types
Autor*in
Zhao-Yan Li
Themen in »Stability of Continuous-Time Delay-Difference Equations«
Time-delay systems with different delays Two point delays Multiple point delays Distributed delays Distributed delays with exponential integral kernels Delay systems Time-delay control systems Continuous-Time Delay-Difference Equations