Paper Info
Title
Necessary and sufficient conditions for containment control of fractional-order multi-agent systems.
Abstract
This paper addresses the containment control problems of fractional-order multi-agent systems, which have more extensive forms than the integer-order systems. Three cases are analyzed, including fractional-order single-integrator systems, fractional-order single-integrator systems with time-delays, and fractional-order double-integrator systems. For each case, a neighbor-based protocol with sampled information is proposed. Then the closed-loop systems, i.e., fractional-order continuous-time systems with sampled-data based protocols, are equivalently transformed into integer-order discrete-time systems by using the solution formula for fractional-order linear systems in each sampling interval. Some necessary and sufficient conditions are established to guarantee the achievement of containment control. When the order of fractional derivative takes the value α=1, the results reduce to the previous results on integer-order multi-agent systems. In addition, some examples are provided to validate the correctness of the main theorems.
Year
DOI
Venue
2019
10.1016/j.neucom.2018.09.067
Neurocomputing
Keywords
Field
DocType
Containment control,Fractional-order systems,Multi-agent systems,Periodic sampling,Time-delays
Mathematical optimization,Sampling interval,Linear system,Correctness,Multi-agent system,Fractional calculus,Artificial intelligence,Containment,Machine learning,Mathematics
Journal
Volume
ISSN
Citations 
323
0925-2312
2
PageRank 
References 
Authors
0.37
20
3
Name
Order
Citations
PageRank
Huiyang Liu128011.68
Guangming Xie2127696.56
Mei Yu372.45