Asymptotical consensus of fractional-order multi-agent systems with current and delay states  

作　　者：Xuhui WANG Xuesong LI Nanjing HUANG D.O'REGAN 

机构地区：[1]Department of Mathematics,Sichuan University,Chengdu 610064,China [2]School of Mathematics,Statistics and Applied Mathematics,National University of Ireland,Galway,Ireland

出　　处：《Applied Mathematics and Mechanics(English Edition)》2019年第11期1677-1694,共18页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(Nos.11471230 and11671282)

摘　　要：In this paper,we study some new fractional-order multi-agent systems with current and delay states (FMASCD).Using the generalized Nyquist's stability criterion and Gerschgorin's circle theorem,we obtain the bounded input-bounded output (BIBO) stability and asymptotical consensus of the FMASCD under mild conditions.Moreover,we give some numerical examples to illustrate our main results.In this paper, we study some new fractional-order multi-agent systems with current and delay states(FMASCD). Using the generalized Nyquist’s stability criterion and Gerschgorin’s circle theorem, we obtain the bounded input-bounded output (BIBO) stability and asymptotical consensus of the FMASCD under mild conditions. Moreover,we give some numerical examples to illustrate our main results.

关 键 词：FRACTIONAL-ORDER multi-agent system (FMAS) asymptotical CONSENSUS CURRENT STATE DELAY STATE 

分 类 号：O193[理学—数学]