Cooperative Control of Complex Network Systems with Dynamic Topologies

Far from being separate entities, many social and engineering systems can be considered as complex network systems (CNSs) associated with closely linked interactions with neighbouring entities such as the Internet and power grids. Roughly speaking, a CNS refers to a networking system consisting of lots of interactional individuals, exhibiting fascinating collective behaviour that cannot always be anticipated from the inherent properties of the individuals themselves.

As one of the most fundamental examples of cooperative behaviour, consensus within CNSs (or the synchronization of complex networks) has gained considerable attention from various fields of research, including systems science, control theory and electrical engineering. This book mainly studies consensus of CNSs with dynamics topologies - unlike most existing books that have focused on consensus control and analysis for CNSs under a fixed topology. As most practical networks have limited communication ability, switching graphs can be used to characterize real-world communication topologies, leading to a wider range of practical applications.

This book provides some novel multiple Lyapunov functions (MLFs), good candidates for analysing the consensus of CNSs with directed switching topologies, while each chapter provides detailed theoretical analyses according to the stability theory of switched systems. Moreover, numerical simulations are provided to validate the theoretical results. Both professional researchers and laypeople will benefit from this book.

遠非獨立實體，許多社會和工程系統可以被視為與互聯網和電力網格等相鄰實體密切相關的複雜網絡系統（CNS）。粗略地說，CNS指的是由許多互動個體組成的網絡系統，展示出迷人的集體行為，這種行為無法僅從個體本身的固有特性中預測。

作為合作行為最基本的例子之一，CNS內的共識（或複雜網絡的同步）已經引起了各個研究領域的廣泛關注，包括系統科學、控制理論和電氣工程。本書主要研究具有動態拓撲的CNS的共識，與大多數現有的書籍不同，這些書籍主要關注固定拓撲下CNS的共識控制和分析。由於大多數實際網絡的通信能力有限，可以使用切換圖來描述現實世界的通信拓撲，從而擴大了實際應用的範圍。

本書提供了一些新穎的多個李亞普諾夫函數（MLFs），這些函數是分析具有有向切換拓撲的CNS共識的良好候選方法，每一章根據切換系統的穩定性理論提供了詳細的理論分析。此外，還提供了數值模擬來驗證理論結果。無論是專業研究人員還是一般讀者都將從本書中受益。

Guanghui Wen is a Professor with the Department of Systems Science, School of Mathematics, Southeast University, China. His current research interests include autonomous intelligent systems, complex networked systems, distributed control and optimization, resilient control, and distributed reinforcement learning.

Wenwu Yu is a Professor in Southeast University, China. Also, he is the Founding Director of Laboratory of Cooperative Control of Complex Systems. His research interests include multi-agent systems, complex networks and systems, disturbance control, distributed optimization, neural networks, game theory etc.

Yuezu Lv is a Lecturer with School of Mathematics, Southeast University, China. His research focuses on cyber-physical systems, distributed estimation, cooperative control, adaptive control, and artificial intelligence.

Peijun Wang is an Associate Professor with the School of Mathematics and Statistics, Anhui Normal University, China. His current research interests include analysis and synthesis of complex networks and distributed fault-tolerant control.

Guanghui Wen是中國東南大學數學學院系統科學系的教授。他目前的研究興趣包括自主智能系統、複雜網絡系統、分散控制和優化、強韌控制以及分散式強化學習。

Wenwu Yu是中國東南大學的教授，也是複雜系統協同控制實驗室的創始主任。他的研究興趣包括多智能體系統、複雜網絡和系統、干擾控制、分散優化、神經網絡、博弈論等。

Yuezu Lv是中國東南大學數學學院的講師。他的研究重點是物理系統、分散估計、協同控制、自適應控制和人工智能。

Peijun Wang是中國安徽師範大學數學與統計學院的副教授。他目前的研究興趣包括複雜網絡的分析與合成以及分散容錯控制。