Stability of Continuous-Time Delay-Difference Equations (Advances in Delays and Dynamics)

Li, Zhao-Yan/ Zhou, Bin/ Song, Yun-Xia

Springer, Berlin; Springer（2026/04発売）

• 製本 Hardcover:ハードカバー版
• 商品コード 9783032190451

Full Description

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.

Contents

Introduction.- Delay-Difference Equations with Two Point Delays.- Delay-Difference Equations with Multiple Point Delays.- Delay-Difference Equations with Distributed Delays.- Delay-Difference Equations with Exponential Integrals.- Delay-Difference Equations with General Delays.- Delay-Difference Equations with Markovian Switching.- Application to the Robust Predictor Feedback.