内容简介：　　　

　　This book presents a unified frequency-domain method for the analysis of distributed control systems. The following important topics are discussed by using the proposed frequency-domain method. (1) Scalable stability criteria of networks of distributed control systems, whereby stability conditions depend on the local information of each node, i.e., the information of the node itself and its neighbours. When a stability criterion is scalable, it has a good property that is unaffected by the number of nodes in the network. Such criteria are very useful for huge networks like the Internet. (2) Effect of heterogeneous delays on the stability of a network of distributed control system, where two main kinds of delays are covered: communication delay, involving communication from one node to another, and input delay, where processing and connecting time for the packets arriving at each node are considered. Input delays also occur when actuators and controllers are connected by networks. (3) Stability of Internet congestion control algorithms. Stability of congestion control algorithms is one of the most important issues in the design of the transmission control protocol (TCP) and the active queue management (AQM) for the Internet. The locally asymptotical stability of Internet congestion control algorithms with heterogeneous communication delays is studied. Based on the clockwise property of parameterized curves and the general Nyquist criterion of stability, scalable stability criteria for congestion control algorithms are derived by analyzing the frequency-domain features of delayed round-trip transfer functions. (4) Consensus in multi-agent systems. Agents in networks update their states based on information exchange. If each agent runs in a common state, it is said that the multi-agent system achieves consensus. The consensus problem is one of the most fundamental issues in the coordination control. By extending the scalable stability criteria for distributed control systems different consensus conditions are derived for multi-agent systems with directed/undirected interconnection topologies under heterogeneous input/communications delays.

图书目录：

Preface
Glossary of Symbols
1  Introduction
　　1.1  Network-Based Distributed Control System
　　1.2  Graph Theory and Interconnection Topology
　　　　1.2.1 Basic Definitions
　　　　1.2.2 Graph Operations
　　　　1.2.3 Algebraic Graph Theory
　　1.3  Distributed Control Systems
　　　　1.3.1 End-to-End Congestion Control Systems
　　　　1.3.2 Consensus-Based Formation Control
　　1.4  Notes and References
　　　　1.4.1  Graph Theory and Distributed Control Systems
　　　　1.4.2  Delay in Control and Control by Delay
2  Symmetry, Stability and Scalability
　　2.1  System Model
　　　　2.1.1  Graph-Based Model of Distributed Control Systems
　　　　2.1.2  Bipartite Distributed Control Systems
　　2.2  Symmetry in the Frequency Domain
　　　　2.2.1  Symmetric Systems
　　　　2.2.2  Symmetry of Bipartite Systems
　　2.3  Stability of Multivariable Systems
　　　　2.3.1  Poles and Stability
　　　　2.3.2  Zeros and Pole-Zero Cancelation
　　2.4  Frequency-Domain Criteria of Stability
　　　　2.4.1  Loop Transformation and Multiplier
　　　　2.4.2  Multivariable Nyquist Stability Criterion
　　　　2.4.3  Spectral Radius Theorem and Small-Gain Theorem
　　　　2.4.4  Positive Realness Theorem
　　2.5  Scalable Stability Criteria
　　　　2.5.1  Estimation of Spectrum of Complex Matrices
　　　　2.5.2  Scalable Stability Criteria for Asymmetric Systems
　　　　2.5.3  Scalable Stability Criteria for Symmetric Systems
　　　　2.5.4  Robust Stability in Deformity of Symmetry
　　2.6  Notes and References
3  Scalability in the Frequency Domain
　　3.1  How the Scalability Condition is Related with Frequency Responses
　　3.2  Clockwise Property of Parameterized Curves
　　3.3  Scalability of First-Order Systems
　　　　3.3.1  Continuous-Time System
　　　　3.3.2  Discrete-Time System
　　3.4  Scalability of Second-Order Systems
　　　　3.4.1  System of Type I
　　　　3.4.2  System of Type II
　　3.5  Frequency-Sweeping Condition
　　　　3.5.1  Stable Quasi-Polynomials
　　　　3.5.2  Frequency-Sweeping Test
　　3.6  Notes and References
4  Congestion Control: Model and Algorithms
　　4.1  An Introduction to Congestion Control
　　　　4.1.1  Congestion Collapse
　　　　4.1.2  Efficiency and Fairness
　　　　4.1.3  Optimization-Based Resource Allocation
　　4.2  Distributed Congestion Control Algorithms
　　　　4.2.1  Penalty Function Approach and Primal Algorithm
　　　　4.2.2  Dual Approach and Dual Algorithm
　　　　4.2.3  Primal-Dual Algorithm
　　　　4.2.4  REM: A Second-Order Dual Algorithm
　　4.3  A General Model of Congestion Control Systems
　　　　4.3.1 Framework of End-to-End Congestion Control under Diverse Round-Trip Delays
　　　　4.3.2  General Primal-Dual Algorithm
　　　　4.3.3  Frequency-Domain Symmetry of Congestion Control Systems
　　4.4  Notes and References
5  Congestion Control: Stability and Scalability
　　5.1  Stability of the Primal Algorithm
　　　　5.1.1  Johari--Tan Conjecture
　　　　5.1.2  Scalable Stability Criterion for Discrete-Time Systems
　　　　5.1.3  Scalable Stability Criterion for Continuous-Time Systems
　　5.2  Stability of REM
　　　　5.2.1  Scalable Stability Criteria
　　　　5.2.2  Dual Algorithm: the First-Order Limit Form of REM
　　　　5.2.3  Design of Parameters of REM
　　5.3  Stability of the Primal-Dual Algorithm
　　　　5.3.1  Scalable Stability Criteria
　　　　5.3.2  Proof of the Stability Criteria
　　5.4  Time-Delayed Feedback Control
　　　　5.4.1  Time-Delayed State as a Reference
　　　　5.4.2  TDFC for Stabilization of an Unknown Equilibrium
　　　　5.4.3  Limitation of TDFC in Stabilization
　　5.5  Stabilization of Congestion Control Systems by Time-Delayed Feedback Control
　　　　5.5.1  Introduction of TDFC into Distributed Congestion Control Systems
　　　　5.5.2  Stabilizability under TDFC
　　　　5.5.3  Design of TDFC with Commensurate Self-Delays
　　5.6 Notes and References
　　　　5.6.1  Stability of Congestion Control with Propagation Delays
　　　　5.6.2  Time-Delayed Feedback Control 189 References
6  Consensus in Homogeneous Multi-Agent Systems
　　6.1  Introduction to Consensus Problem
　　　　6.1.1  Integrator Agent System
　　　　6.1.2  Existence of Consensus Solution
　　　　6.1.3  Consensus as a Stability Problem
　　　　6.1.4  Discrete-Time Systems
　　　　6.1.5  Consentability
　　6.2  Second-Order Agent System
　　　　6.2.1  Consensus and Stability
　　　　6.2.2  Consensus and Consentability Condition
　　　　6.2.3  Periodic Consensus Solutions
　　　　6.2.4  Simulation Study
　　6.3  High-Order Agent System
　　　　6.3.1  System Model
　　　　6.3.2  Consensus Condition
　　　　6.3.3  Consentability
　　6.4  Notes and References
7  Consensus in Heterogeneous Multi-Agent Systems
　　7.1  Integrator Agent System with Diverse Input and Communication Delays
　　　　7.1.1  Consensus in Discrete-Time Systems
　　　　7.1.2  Consensus under Diverse Input Delays
　　　　7.1.3  Consensus under Diverse Communication Delays and Input Delays
　　　　7.1.4  Continuous-Time System
　　　　7.1.5  Simulation Study
　　7.2  Double Integrator System with Diverse Input Delays and Interconnection Uncertainties
　　　　7.2.1  Leader-Following Consensus Algorithm
　　　　7.2.2  Consensus Condition under Symmetric Coupling Weights
　　　　7.2.3  Robust Consensus under Asymmetric Perturbations
　　　　7.2.4  Simulation Study
　　7.3  High-Order Consensus in High-Order Systems
　　　　7.3.1  System Model
　　　　7.3.2  Consensus Condition
　　　　7.3.3  Existence of High-Order Consensus Solutions
　　　　7.3.4  Constant Consensus
　　　　7.3.5  Consensus in Ideal Networks
　　7.4  Integrator-Chain Systems with Diverse Communication Delays
　　　　7.4.1  Matching Condition for Self-Delay
　　　　7.4.2  Adaptive Adjustment of Self-Delay
　　　　7.4.3  Simulation Study
　　7.5  Notes and References
Index