access icon free Event-based synchronisation of linear discrete-time dynamical networks

© The Institution of Engineering and Technology
Received 28/05/2014, Accepted 17/10/2014, Revised 18/08/2014, Published 19/03/2015

This study investigates the problem of event-based synchronisation of linear discrete-time dynamical networks. Leader-following and leaderless synchronisations are achieved by a distributed event-trigger strategy. It is shown that feedback control updating is unnecessary until an event is triggered. The combinational-state variables and the Riccati equation are used to construct a Liapunov function and to design the event-triggering conditions. Numerical examples are provided to illustrate the theoretical results.

Inspec keywords: Riccati equations; feedback; synchronisation; linear systems; network theory (graphs); Lyapunov methods; discrete time systems

Other keywords: feedback control updating; combinational-state variables; leader-following; distributed event-trigger strategy; Liapunov function; linear discrete-time dynamical networks; leaderless synchronisations; event-based synchronisation; event-triggering conditions; Riccati equation

Subjects: Linear algebra (numerical analysis); Combinatorial mathematics; Discrete control systems; Stability in control theory

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