Consensus Over Switching Network Topology: Characterizing System Parameters and

Description: Consensus Over Switching Network Topology: Characterizing System Parameters and Joint Connectivity by Jiahu Qin, Qichao Ma, Huijun Gao, Wei Xing Zheng, Yu Kang This book aims to extend existing works on consensus of multi-agent systems systematically. This framework relates containment to consensus and overcomes the difficulty of construction of a containment error.This book serves as a reference to the main research issues and results on consensus of multi-agent systems. FORMAT Paperback CONDITION Brand New Publisher Description This book aims to extend existing works on consensus of multi-agent systems systematically. The agents to be considered range from double integrators to generic linear systems. The primary goal is to explicitly characterize how agent parameters, which reflect both self-dynamics and inner coupling of each agent, and switching network topologies jointly influence the collective behaviors. A series of necessary and/or sufficient conditions for exponential consensus are derived. The contents of this book are as follows. Chapter 1 provides the background and briefly reviews the advances of consensus of multi-agent systems. Chapter 2 addresses the consensus problem of double integrators over directed switching network topologies. It is proven that exponential consensus can be secured under very mild conditions incorporating the damping gain and network topology. Chapter 3 considers generic linear systems with undirected switching network topologies. Necessary and sufficient conditions on agent parameters and connectivity of the communication graph for exponential consensus are provided. Chapter 4 furthers the study of consensus for multiple generic linear systems by considering directed switching network topologies. How agent parameters and joint connectivity work together for reaching consensus is characterized from an algebraic and geometric view. Chapter 5 extends the design and analysis methodology to containment control problem, where there exist multiple leaders. A novel analysis framework from the perspective of state transition matrix is developed. This framework relates containment to consensus and overcomes the difficulty of construction of a containment error.This book serves as a reference to the main research issues and results on consensus of multi-agent systems. Some prerequisites for reading this book include linear system theory, matrix theory, mathematics, and so on. Back Cover This book aims to extend existing works on consensus of multi-agent systems systematically. The agents to be considered range from double integrators to generic linear systems. The primary goal is to explicitly characterize how agent parameters, which reflect both self-dynamics and inner coupling of each agent, and switching network topologies jointly influence the collective behaviors. A series of necessary and/or sufficient conditions for exponential consensus are derived. The contents of this book are as follows. Chapter 1 provides the background and briefly reviews the advances of consensus of multi-agent systems. Chapter 2 addresses the consensus problem of double integrators over directed switching network topologies. It is proven that exponential consensus can be secured under very mild conditions incorporating the damping gain and network topology. Chapter 3 considers generic linear systems with undirected switching network topologies. Necessary and sufficient conditions on agent parameters and connectivity of the communication graph for exponential consensus are provided. Chapter 4 furthers the study of consensus for multiple generic linear systems by considering directed switching network topologies. How agent parameters and joint connectivity work together for reaching consensus is characterized from an algebraic and geometric view. Chapter 5 extends the design and analysis methodology to containment control problem, where there exist multiple leaders. A novel analysis framework from the perspective of state transition matrix is developed. This framework relates containment to consensus and overcomes the difficulty of construction of a containment error. This book serves as a reference to the main research issues and results on consensus of multi-agent systems. Some prerequisites for reading this book include linear system theory, matrix theory, mathematics, and so on. Table of Contents Introduction.- Consensus of Double-integrators over Switching Network Topology.- Generic Linear Systems over Undirected Network: Controllability and Connectivity.- Generic Linear Systems over Directed Switching Network Topology.- Extensions to Containment Control. Feature Deals with the consensus for networked agents ranging from double integrators to generic linear systems Characterizes how agent parameters and switching network topology jointly influence the collective behavior Presents a series of necessary and sufficient conditions for exponential consensus of linear agents Details ISBN3030856593 Author Yu Kang Pages 246 Publisher Springer Nature Switzerland AG Series Studies in Systems, Decision and Control Year 2022 Edition 1st ISBN-13 9783030856595 Format Paperback Imprint Springer Nature Switzerland AG Place of Publication Cham Country of Publication Switzerland Illustrations 32 Illustrations, color; 25 Illustrations, black and white; XI, 246 p. 57 illus., 32 illus. in color. Publication Date 2022-10-29 ISBN-10 3030856593 UK Release Date 2022-10-29 Edition Description 1st ed. 2022 Alternative 9783030856564 DEWEY 629.8 Series Number 393 Audience Professional & Vocational We've got this At The Nile, if you're looking for it, we've got it. 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