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Consensus over switching network topology : characterizing system parameters and joint connectivity / Jiahu Qin, Qichao Ma, Huijin Gao, Wei Xing Zheng, Yu Kang.

9783030856571 (electronic bk.)
3030856577 (electronic bk.)
9783030856564
3030856569

Cham : Springer, [2022]

©2022

English

1 online resource : illustrations (some color)

10.1007/978-3-030-85657-1 doi

TJ215.5 .Q56 2022

006.30285/436

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.

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Online resource; title from PDF title page (SpringerLink, viewed November 12, 2021).

Studies in systems, decision and control ; v. 393. 2198-4190

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