A nonlinear version of Krein Rutman Theorem is established.This paper presents aunified proof of the Krein Rutman Theorem for linear operators and for nonlinear operators,and ofthe Perron-Frobenius theorem for nonnega...A nonlinear version of Krein Rutman Theorem is established.This paper presents aunified proof of the Krein Rutman Theorem for linear operators and for nonlinear operators,and ofthe Perron-Frobenius theorem for nonnegative matrices and for nonnegative tensors.展开更多
This paper studies the consensus problem of multi-agent systems in which all agents are modeled by a general linear system. The authors consider the case where only the relative output feedback between the neighboring...This paper studies the consensus problem of multi-agent systems in which all agents are modeled by a general linear system. The authors consider the case where only the relative output feedback between the neighboring agents can be measured. To solve the consensus problem, the authors first construct a static relative output feedback control under some mild constraints on the system model. Then the authors use an observer based approach to design a dynamic relative output feedback control. If the adjacent graph of the system is undirected and connected or directed with a spanning tree, with the proposed control laws, the consensus can be achieved. The authors note that with the observer based approach, some information exchange between the agents is needed unless the associated adjacent graph is completely connected.展开更多
文摘A nonlinear version of Krein Rutman Theorem is established.This paper presents aunified proof of the Krein Rutman Theorem for linear operators and for nonlinear operators,and ofthe Perron-Frobenius theorem for nonnegative matrices and for nonnegative tensors.
基金supported by the Swedish Research Council(VR)the Swedish Foundation for Strategic Research(SSF)+3 种基金the NNSF of China under Grant Nos.61203142 and 61273221the Excellent Young Technology Innovation Foundation of Hebei University of Technology under Grant No.2012005the Ministry of Education Innovation Team Development Plan under Grant No.IRT1232the Natural Science Foundation of Tianjin under Grant No.13JCQNJC03500
文摘This paper studies the consensus problem of multi-agent systems in which all agents are modeled by a general linear system. The authors consider the case where only the relative output feedback between the neighboring agents can be measured. To solve the consensus problem, the authors first construct a static relative output feedback control under some mild constraints on the system model. Then the authors use an observer based approach to design a dynamic relative output feedback control. If the adjacent graph of the system is undirected and connected or directed with a spanning tree, with the proposed control laws, the consensus can be achieved. The authors note that with the observer based approach, some information exchange between the agents is needed unless the associated adjacent graph is completely connected.
