Title :
Consensus of fractional-order linear systems
Author :
Chao Song ; Jinde Cao
Author_Institution :
Dept. of Math., Southeast Univ., Nanjing, China
Abstract :
This paper studies the consensus control problem for a group of fractional-order linear multi-agent systems (MAS) with directed interaction topology when the fractional order α satisfies 0 <; α <; 2, by transforming it into the stability of a set of matrices. Based on the stability theory of fractional-order system, some sufficient and necessary conditions are presented to ensure the consensus of MAS in terms of linear matrix inequalities, and the feedback matrix of the proposed protocol is also determined accordingly.
Keywords :
feedback; linear matrix inequalities; linear systems; multi-agent systems; stability; LMI; MAS; consensus control problem; directed interaction topology; feedback matrix; fractional-order linear multi-agent systems; fractional-order linear systems; linear matrix inequalities; protocol; stability theory; Eigenvalues and eigenfunctions; Heuristic algorithms; Linear matrix inequalities; Multi-agent systems; Network topology; Protocols; Topology;
Conference_Titel :
Control Conference (ASCC), 2013 9th Asian
Conference_Location :
Istanbul
Print_ISBN :
978-1-4673-5767-8
DOI :
10.1109/ASCC.2013.6606402
