TY - JOUR

T1 - Tsypkin and Jury-Lee Criteria for Synchronization and Stability of Discrete-Time Multiagent Systems

AU - Матвеев, Алексей Серафимович

AU - Проскурников, Антон Викторович

N1 - Funding Information: All of the results in this work were obtained at the Institute of Problems of Mechanical Engineering of the Russian Academy of Sciences. This work was supported in part by the Russian Foundation for Basic Research, projects nos. 17-08-01728, 17-08-00715, and 17-08-01266, and Russian Science Foundation, projects nos. 14-29-00142, 16-19-00057.

PY - 2018/6/1

Y1 - 2018/6/1

N2 - Dynamics of complex networked systems consisting of a large number of interconnected components (agents) has attracted considerable attention of researchers in control theory and dynamical systems. One of the most interesting questions in this area concerns the emergence of a coherent joint behavior of nodes caused by couplings between them, such as, e.g., their synchronization. We study a network where each node is a linear dynamical system of arbitrary order in discrete time, and couplings between the nodes are nonlinear and unknown but satisfy the sector inequality with known bounds. We obtain frequency-domain criteria of synchronization and stability of the network, which are generalizations of the Tsypkin criterion and the Jury–Lee criterion for discrete-time Lurie systems.

AB - Dynamics of complex networked systems consisting of a large number of interconnected components (agents) has attracted considerable attention of researchers in control theory and dynamical systems. One of the most interesting questions in this area concerns the emergence of a coherent joint behavior of nodes caused by couplings between them, such as, e.g., their synchronization. We study a network where each node is a linear dynamical system of arbitrary order in discrete time, and couplings between the nodes are nonlinear and unknown but satisfy the sector inequality with known bounds. We obtain frequency-domain criteria of synchronization and stability of the network, which are generalizations of the Tsypkin criterion and the Jury–Lee criterion for discrete-time Lurie systems.

KW - multi-agent systems

KW - stability

KW - synchronization

UR - http://www.scopus.com/inward/record.url?scp=85048666478&partnerID=8YFLogxK

U2 - 10.1134/S0005117918060061

DO - 10.1134/S0005117918060061

M3 - Article

VL - 79

SP - 1057

EP - 1073

JO - Automation and Remote Control

JF - Automation and Remote Control

SN - 0005-1179

IS - 6

ER -