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Consensus Over Switching Network Topology: Characterizing System Parameters and Joint Connectivity (Paperback, 1st ed. 2022)
Loot Price: R3,498
Discovery Miles 34 980
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Consensus Over Switching Network Topology: Characterizing System Parameters and Joint Connectivity (Paperback, 1st ed. 2022)
Series: Studies in Systems, Decision and Control, 393
Expected to ship within 10 - 15 working days
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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.
General
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