2017
DOI: 10.1002/rnc.3798
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Controllability of multi‐agent systems under directed topology

Abstract: Summary In this paper, the controllability of multi‐agent systems is studied under leader‐follower framework, where the interconnection between agents is directed. The concept of leader‐follower connectedness is first introduced for directed graph to check controllability, and some graph‐theoretic conditions are derived for constructively designed topologies. Then, distance partition and almost equitable partition are employed to quantitatively study the controllable subspaces. Moreover, the relationship betwe… Show more

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Cited by 76 publications
(39 citation statements)
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“…Chinese culture can be regarded as the most significant component in cross-cultural communication. Of note, we also find that certain advanced western culture can be potentially regarded as a direction for reforming China's English education [3]. Education is a potential mean of affecting human behavior, which runs through social development [4].…”
Section: Introduction and Settingmentioning
confidence: 68%
“…Chinese culture can be regarded as the most significant component in cross-cultural communication. Of note, we also find that certain advanced western culture can be potentially regarded as a direction for reforming China's English education [3]. Education is a potential mean of affecting human behavior, which runs through social development [4].…”
Section: Introduction and Settingmentioning
confidence: 68%
“…Let πAEPfalse(i1,,imfalse) represent the maximal AEP relative to { i 1 ,…, i m }. For a given digraph scriptG and nodes i 1 ,…, i m , πAEPfalse(i1,,imfalse) is always existed uniquely (see, eg, the works of Zhang et al and Guan et al for the details).…”
Section: Preliminaries and Basic Lemmasmentioning
confidence: 99%
“…Especially, a plenty of graphic methods and tools have been used to study controllability of MAS. For example, graph partition techniques are employed to study MAS controllability, including equitable partition (EP), almost EP, and distance partition . On the other hand, the effectiveness of some special graphs structure on MAS controllability has been investigated and some necessary and/or sufficient graphical conditions have been established.…”
Section: Introductionmentioning
confidence: 99%
“…Moreover, although the traditional methods of computational simulation can address a variety of complex systems, it is only a possible mean for the computer experiment methods [2,3]. In foreign research, scholars usually adopt social simulation mode for the study of social problems, which can take reasonable research for society, management and scientific problem complexity and is expected to explore the rules behind of social activity [4].…”
Section: Introductionmentioning
confidence: 99%