Reaching a consensus via pinning control

Chen, Fei; Chen, Zengqiang; Xiang, Linying; Liu, Zhongxin; Yuan, Zhen

doi:10.1016/j.automatica.2008.12.027

Cited by 220 publications

(102 citation statements)

References 16 publications

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“…Olfati-saber et al engaged in the research on the consensus of multi-agent systems with switching topology and communication delays [16]. The important results for the distributed coordination problem of multi-agent systems are achieved in many literatures [11,14,25,4,24,22,23]. When different agents transfer information through sensors or other communication devices in the coordination network, communication delays have a great impact on the flocking behaviors of the system.…”

Section: Introductionmentioning

confidence: 99%

“…When different agents transfer information through sensors or other communication devices in the coordination network, communication delays have a great impact on the flocking behaviors of the system. Now, the compacts of communication delays on the movement of multi-agent systems have also been paid close attention by many scholars [16,14,25,4,24,22,23] where these studies are on the consensus problem of integer-order multi-agent systems. To my knowledge, Cao and Ren firstly studied distribution coordination of multi-agent systems based on the fractional order [2,3], and gave the relationship between the number of individuals and the fractional order in the stable multi-agent system.…”

Section: Introductionmentioning

confidence: 99%

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Distributed coordination of fractional order multi-agent systems with communication delays

Yang

Zhu

Cao

2013

fcaa

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Because of the complexity of the practical environments, many distributed multi-agent systems can not be illustrated with the integer-order dynamics and can only be described with the fractional-order dynamics. Under the connected network with directed weighted topologies, the dynamical characteristics of agents with fractional-order derivative operator is analyzed in this paper. Applying the Laplace transform and frequency domain theory of the fractional-order operator, the distributed coordination of fractional-order multi-agent systems (FOMAS) with communication delays is studied, and a critical value of time delay is obtained to ensure the consensus of FOMAS. Since the integer-order model is a special case of fractional-order model, the extended results in this paper are in accordance with that of the integer-order model. Finally, numerical examples are provided to verify our results.MSC 2010 : Primary 34K37; Secondary 68T42, 93C85

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Distributed coordination of fractional order multi-agent systems with communication delays

Yang

Zhu

Cao

2013

fcaa

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“…∆ is a positive definite matrix because the system has a globally reachable node from Assumption 1 and Lemma 2. Due to α > β > 0, then s = 0 is not a characteristic root of the characteristic equation (14). When s ≠ 0, let…”

Section: Containment Control Of Heterogenous Fomas With Communicationmentioning

confidence: 99%

“…With the development of communication technology, distributed coordination of networked systems has been studied in details [10][11][12][13][14]. Cooperative control of multiple agent systems has become a hot topic in the fields of automation, computer science, etc.…”

Section: Introductionmentioning

confidence: 99%

Distributed containment control of heterogeneous fractional-order multi-agent systems with communication delays

Yang¹,

Han²,

Zhao³

et al. 2017

Open Physics

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Because many networked systems can only be characterized with fractional-order dynamics in complex environments, fractional-order calculus has been studied deeply recently. When diverse individual features are shown in different agents of networked systems, heterogeneous fractional-order dynamics will be used to describe the complex systems. Based on the distinguishing properties of agents, heterogeneous fractional-order multi-agent systems (FOMAS) are presented. With the supposition of multiple leader agents in FOMAS, distributed containment control of FOMAS is studied in directed weighted topologies. By applying Laplace transformation and frequency domain theory of the fractional-order operator, an upper bound of delays is obtained to ensure containment consensus of delayed heterogenous FOMAS. Consensus results of delayed FOMAS in this paper can be extended to systems with integer-order models. Finally, numerical examples are used to verify our results.

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“…design of adaptive pinning controllers [6]- [8], or on finding criteria for the optimal selection of the agents to control [9]- [11], or on finding sufficient conditions for synchronization [12]- [14]. Such conditions usually relate to the agents' dynamics, the network topology, and the pinning scheme.…”

mentioning

confidence: 99%