Synchronisation of systems with individual dynamics by static networked controllers

Abstract

The paper deals with the synchronisation of subsystems that have individual linear dynamics. To formulate the basic condition under which the subsystems can be synchronised, the notion of system intersection is introduced. Subsystems can be synchronised by an appropriate controller only if their dynamics have a non-empty intersection, which acts as a virtual reference system. The paper describes an algorithm for determining the maximum intersection of linear systems and gives an explicit relation for the initial state in dependence upon the subsystem initial states, for which the virtual reference system generates the synchronous trajectory.

Fault‐Tolerant Stabilization in Discrete‐Time Multiple‐Integrator Networks with General Information Sharing

“…The relevant literature traces back to [1][2][3], and is now very vast. It mainly concentrates on consensus, synchronization, flocking and similar coordination problems, and adopts models of various forms for the agents' dynamics: single or double integrators [4][5][6][7][8][9], multiple integrators [10][11][12], general linear systems [13][14][15][16][17][18][19][20][21], fractional-order systems [22,23]. Other papers have dealt with stabilization and pole-placement.…”

Synchronization of Interconnected Multi‐valued Logical Networks

“…In recent decades, synchronization phenomena have attracted considerable attention in many fields, such as biology and chemistry . Moreover, studied the synchronization of subsystems that have individual linear dynamics and considered a synchronization problem of a class of neutral‐type complex dynamic networks with interval time‐varying coupling delays. Recently, interest has extended to synchronization of BNs, mostly due to their potential applications.…”