Consensus of compound-order multi-agent systems with communication delays

AbstractIn complex environments, many distributed networked systems can only be illustrated with fractional-order dynamics. When multi-agent systems show individual diversity with difference agents, heterogeneous (integer-order and fractional-order) dynamics are used to illustrate the agent systems and compose integerfractional compounded-order systems. Applying Laplace transform and frequency domain theory of the fractional-order operator, the consensus of delayed multi-agent systems with directed weighted topologies is studied. Since an integer-order model is the special case of a fractional-order model, the results 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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Distributed coordination of fractional order multi-agent systems with communication delays

Fractional Calculus and Applied Analysis ◽

10.2478/s13540-014-0153-9 ◽

2014 ◽

Vol 17 (1) ◽

Cited By ~ 33

Author(s):

Hong-yong Yang ◽

Xun-lin Zhu ◽

Ke-cai Cao

Keyword(s):

Fractional Order ◽

Communication Delays ◽

Distributed Coordination ◽

Multi Agent Systems ◽

Order Model ◽

Agent Systems ◽

Integer Order ◽

Dynamical Characteristics ◽

The Laplace Transform ◽

Multi Agent

AbstractBecause 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.

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

Open Physics ◽

10.1515/phys-2017-0058 ◽

2017 ◽

Vol 15 (1) ◽

pp. 509-516 ◽

Cited By ~ 7

Author(s):

Hongyong Yang ◽

Fujun Han ◽

Mei Zhao ◽

Shuning Zhang ◽

Jun Yue

Keyword(s):

Fractional Order ◽

Networked Systems ◽

Domain Theory ◽

Communication Delays ◽

Multi Agent Systems ◽

Complex Environments ◽

Containment Control ◽

Agent Systems ◽

Multi Agent ◽

Diverse Individual

AbstractBecause 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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