内容简介：　　　

　　This authored monograph presents a study on fundamental limits and robustness of stability and stabilization of time-delay systems, with an emphasis on time-varying delay, robust stabilization, and newly emerged areas such as networked control and multi-agent systems. The authors systematically develop an operator-theoretic approach that departs from both the traditional algebraic approach and the currently pervasive LMI solution methods. This approach is built on the classical small-gain theorem, which enables the author to draw upon powerful tools and techniques from robust control theory. The book contains motivating examples and presents mathematical key facts that are required in the subsequent sections. The target audience primarily comprises researchers and professionals in the field of control theory, but the book may also be beneficial for graduate students alike.

英文目录：
1 Introduction
　　1.1 Examples of Time-Delay Systems
　　　　1.1.1 A Gyroscopic System
　　　　1.1.2 A Classical Economic Model
　　　　1.1.3 Communication Networks
　　　　1.1.4 Biological Systems
　　　　1.1.5 The Dujiangyan Irrigation Project: A Showcase of Early Mankind’s Ingenuity
　　1.2 Linear Time-Delay Systems
　　　　1.2.1 Stability of Linear Time-Delay Systems
　　　　1.2.2 Stabilization of Linear Time-Delay Systems
　　1.3 Delays in Networked Control Systems
　　1.4 Delays in Multi-agent Systems
　　1.5 Summary
2 Mathematical Background
　　2.1 Signal and System Norms
　　　　2.1.1 L2 and H2 Norms
　　　　2.1.2 Lp-Induced System Norms
　　2.2 Small-Gain Theorems
　　　　2.2.1 L2 Small-Gain Theorem
　　　　2.2.2 L∞Small-Gain Theorem
　　　　2.2.3 Mean-Square Small-Gain Theorem 
　　2.3 H∞ and H2 Optimal Control
　　　　2.3.1 Youla–Kučera Parameterization
　　　　2.3.2 Inner–Outer Factorization  
　　2.4 Robust Stability Margin Problems
　　　　2.4.1 System Poles and Zeros
　　　　2.4.2 Analytic Function Interpolation  
　　　　2.4.3 Gain and Phase Margin Problems
　　2.5 LMI and GEVP
　　2.6 Summary
3 Small-Gain Stability Conditions
　　3.1 Introduction
　　3.2 Uncertainty Modeling and Model Transformation
　　3.3 L2-Stability Conditions
　　　　3.3.1 Range-Independent Conditions
　　　　3.3.2 Range-Dependent Conditions
　　　　3.3.3 Extension to Noncentric Delay Intervals 
　　　　3.3.4 Extension to Transformed Nominal Systems
　　3.4 L∞-Stability Conditions
　　　　3.4.1 Delay-Independent Conditions
　　　　3.4.2 Delay-Dependent Conditions 
　　3.5 Summary
4 Delay Margin
　　4.1 Introduction
　　4.2 Upper Bounds on the Delay Margin
　　4.3 Lower Bounds on the Delay Margin
　　4.4 Summary
5 Stabilization of Linear Systems with Time-Varying Delays
　　5.1 Introduction
　　5.2 Rate-Independent Bound
　　5.3 Rate-Dependent Conditions
　　5.4 Summary
6 Delay Margin Achievable by PID Controllers
　　6.1 Introduction
　　6.2 First-Order Unstable Systems
　　6.3 Second-Order Unstable Plants
　　　　6.3.1 Real Poles
　　　　6.3.2 Complex Conjugate Poles
　　　　6.3.3 Oscillatory Poles
　　6.4 Second-Order Examples
　　6.5 Effect of Nonminimum Phase Zeros
　　6.6 Unstable Plants with Time-Varying Delay
　　6.7 Summary
7 Delay Radius of MIMO Delay Systems
　　7.1 Introduction
　　7.2 Region of Stability
　　7.3 Uniform Delays
　　7.4 Region of Instability
　　7.5 Summary
8 Stabilization of Networked Delay Systems
　　8.1 Introduction
　　8.2 Mean-Square Stabilizability
　　8.3 SISO Systems
　　8.4 MIMO Systems
　　8.5 Summary
9 Consensus of Multi-agent Systems Under Delay
　　9.1 Introduction
　　9.2 Consensus over Undirected Graph
　　9.3 Consensus over Directed Graph
　　9.4 Summary
References
Index