Cooperative Control of Complex Network Systems with Dynamic Topologies

Cover
Half Title
Title Page
Copyright Page
Contents
Preface
Chapter 1: Introduction
	1.1. COMPLEX NETWORK SYSTEMS
	1.2. DEFINITIONS OF SYNCHRONIZATION AND CONSENSUS
	1.3. SYNCHRONIZATION OF COMPLEX NETWORKS WITH SWITCHING TOPOLOGIES
	1.4. CONSENSUS OF MASS WITH SWITCHING TOPOLOGIES
	1.5. EXTENSIONS AND APPLICATIONS OF CNSS WITH SWITCHING TOPOLOGIES
Chapter 2: Preliminaries
	2.1. NOTATIONS
	2.2. MATRIX THEORY AND ORDINARY DIFFERENTIAL EQUATION
	2.3. ALGEBRAIC GRAPH THEORY
	2.4. SWITCHED SYSTEM THEORY
		2.4.1. Solutions of differential systems
		2.4.2. Multiple Lyapunov functions
		2.4.3. Stability under slow switching
Chapter 3: Consensus of linear CNSs with directed switching topologies
	3.1. CONSENSUS OF LINEAR CNSS WITH DIRECTED SWITCHING TOPOLOGIES
		3.1.1. Introduction
		3.1.2. Problem formulation
		3.1.3. Main results
		3.1.4. Numerical simulations
	3.2. DISTRIBUTED CONSENSUS TRACKING FOR GENERAL LINEAR CNSS WITH DIRECTED SWITCHING TOPOLOGIES
		3.2.1. Introduction
		3.2.2. Model formulation
		3.2.3. Main results for an autonomous leader case
		3.2.4. Main results for a nonautonomous leader case
		3.2.5. Numerical simulations
	3.3. CONCLUSIONS
Chapter 4: Consensus disturbance rejection of MIMO linear CNSs with directed switching topologies
	4.1. INTRODUCTION
	4.2. MODEL FORMULATION AND UNKNOWN INPUT OBSERVER
	4.3. CNSS WITH STATIC COUPLING AND SWITCHING TOPOLOGIES
	4.4. CNSS WITH DYNAMIC COUPLING AND FIXED TOPOLOGY
	4.5. NUMERICAL SIMULATIONS
	4.6. CONCLUSIONS
Chapter 5: Consensus tracking of CNSs with first-order nonlinear dynamics and directed switching topologies
	5.1. INTRODUCTION
	5.2. CONSENSUS TRACKING OF CNS WITH LIPSCHITZ TYPE DYNAMICS
		5.2.1. Model formulation
		5.2.2. Main results
	5.3. CONSENSUS TRACKING OF CNSS WITH LORENZ TYPE DYNAMICS
		5.3.1. Model formulation
		5.3.2. Main results for directed fixed communication topology
		5.3.3. Main results for directed switching communication topologies
	5.4. NUMERICAL SIMULATIONS
	5.5. CONCLUSIONS
Chapter 6: Consensus tracking of CNSs with higher-order dynamics and directed switching topologies
	6.1. INTRODUCTION
	6.2. CONSENSUS TRACKING OF CNSS WITH HIGHER-ORDER NONLINEAR
		6.2.1. Problem formulation
		6.2.2. Main results for fixed topology containing a directed spanning tree
		6.2.3. Main results for switching topologies with each topology containing a directed spanning tree
		6.2.4. Main results for switching topologies frequently containing a directed spanning tree
	6.3. CONSENSUS TRACKING OF CNSS WITH OCCASIONALLY MISSING CONTROL INPUTS
		6.3.1. Model formulation
		6.3.2. Main results
		6.3.3. Discussions on the convergence rate
	6.4. NUMERICAL SIMULATIONS
	6.5. CONCLUSIONS
Chapter 7: H-infinity consensus of CNSs with directed switching topologies
	7.1. INTRODUCTION
	7.2. H∞ CONSENSUS OF LINEAR CNSS WITH DISTURBANCES
		7.2.1. Model formulation
		7.2.2. Main results
		7.2.3. Discussions on the convergence rate
	7.3. H∞ CONSENSUS OF CNSS WITH LIPSCHITZ NONLINEAR DYNAMICS AND APERIODIC SAMPLED DATA COMMUNICATIONS
		7.3.1. Model formulation
		7.3.2. Selective pinning strategy
		7.3.3. Main results
		7.3.4. Extension to H∞ consensus of CNSs with directed switching topologies
	7.4. NUMERICAL SIMULATIONS
	7.5. CONCLUSIONS
Chapter 8: Distributed tracking of nonlinear CNSs with directed switching topologies: An observer-based protocol
	8.1. INTRODUCTION
	8.2. PROBLEM FORMULATION
	8.3. MAIN RESULTS
	8.4. CONSENSUS TRACKING PROTOCOL DESIGN: INDEPENDENT TOPOLOGY CASE
	8.5. NUMERICAL SIMULATIONS
	8.6. CONCLUSIONS
Chapter 9: Cooperative tracking of CNSs with a high-dimensional leader and directed switching topologies
	9.1. INTRODUCTION
	9.2. MODEL FORMULATION
	9.3. CONSENSUS TRACKING AND ITS L2-GAIN PERFORMANCE OF CNSS WITH DIRECTED SWITCHING TOPOLOGIES
	9.4. CONSENSUS TRACKING AND ITS L2-GAIN PERFORMANCE OF CNSS WITH UNDIRECTED FIXED TOPOLOGY
	9.5. NUMERICAL SIMULATIONS
	9.6. CONCLUSIONS
Chapter 10: Neuro-adaptive consensus of CNSs with uncertain dynamics
	10.1. INTRODUCTION
	10.2. PRACTICAL CONSENSUS TRACKING OF CNSS WITH A HIGHDIMENSIONAL LEADER AND DIRECTED SWITCHING TOPOLOGIES
		10.2.1. Model formulation
		10.2.2. CNSs with fixed topology
		10.2.3. CNSs with switching topologies
		10.2.4. Numerical simulations
	10.3. ASYMPTOTIC CONSENSUS TRACKING OF CNSS WITH A HIGH DIMENSIONAL LEADER AND DIRECTED FIXED TOPOLOGY
		10.3.1. Model formulation
		10.3.2. Theoretical analysis
		10.3.3. Numerical simulations
	10.4. PRACTICAL AND ASYMPTOTIC CONTAINMENT TRACKING OF CNSS WITH MULTIPLE LEADERS
		10.4.1. Model formulation
		10.4.2. Practical containment of uncertain CNSs
		10.4.3. Asymptotical containment of uncertain CNSs
		10.4.4. Numerical simulations
	10.5. CONCLUSIONS
Chapter 11: Resilient consensus of CNSs with input saturation and malicious attack under switching topologies
	11.1. INTRODUCTION
	11.2. CONSENSUS OF LINEAR CNSS WITH INPUT SATURATION UNDER SWITCHING TOPOLOGIES
		11.2.1. Problem formulation
		11.2.2. CNSs with relative output information
		11.2.3. CNSs with absolute output information
		11.2.4. Numerical simulation
	11.3. RESILIENT CONSENSUS OF CNSS WITH MALICIOUS ATTACK UNDER SWITCHING TOPOLOGIES
		11.3.1. Problem formulation
		11.3.2. Joint (r, s)-robustness
		11.3.3. Resilient consensus of switching topologies
		11.3.4. Numerical simulation
	11.4. CONCLUSIONS
Bibliography
Index