Lan Xiang

Impulsive consensus seeking in directed networks of multi-agent systems with communication time delays

In this article, we consider average consensus problem in directed delayed networked multi-agent systems having impulsive effects with fixed topology and stochastic switching topology. A simple impulsive consensus protocol for such networks is proposed, and some generic criteria for solving the average consensus problem are analytically derived. It is shown that a directed delayed networked multi-agent system can achieve average consensus globally exponentially with suitable impulsive gain and impulsive interval. Subsequently, two typical illustrative examples, along with computer simulation results, are provided to visualise the effectiveness and feasibility of our theoretical results.

Distributed δ-consensus in directed delayed networks of multi-agent systems

In this article, we propose a distributed δ-consensus protocol in directed networks of dynamic agents having communication delays. The δ-consensus protocol is an average consensus protocol where agents exchange the information with their neighbours at some discontinuous moments. We provide convergence analysis for such consensus algorithm under stochastic switching communication graphs, and then present some generic criteria for solving the average consensus problem. We also show that directed delayed networks of dynamic agents can achieve average consensus even when each agent in the networks intermittently exchanges the information with its neighbours only at some discrete moments. Subsequently, a typical numerical example illustrates and visualises the effectiveness and feasibility of the theoretical results.

Sampled-data synchronization of coupled harmonic oscillators with controller failure and communication delays

In this letter, a distributed protocol for sampled-data synchronization of coupled harmonic oscillators with controller failure and communication delays is proposed, and a brief procedure of convergence analysis for such algorithm over undirected connected graphs is provided. Furthermore, a simple yet generic criterion is also presented to guarantee synchronized oscillatory motions in coupled harmonic oscillators. Subsequently, the simulation results are worked out to demonstrate the efficiency and feasibility of the theoretical results.

Pinning impulsive directed coupled delayed dynamical network and its applications

The main objective of the present paper is to further investigate pinning synchronisation of a complex delayed dynamical network with directionally coupling by a single impulsive controller. By developing the analysis procedure of pinning impulsive stability for undirected coupled dynamical network previously, some simple yet general criteria of pinning impulsive synchronisation for such directed coupled network are derived analytically. It is shown that a single impulsive controller can always pin a given directed coupled network to a desired homogenous solution, including an equilibrium point, a periodic orbit, or a chaotic orbit. Subsequently, the theoretical results are illustrated by a directed small-world complex network which is a cellular neural network (CNN) and a directed scale-free complex network with the well-known Hodgkin–Huxley neuron oscillators. Numerical simulations are finally given to demonstrate the effectiveness of the proposed control methodology.

Group Consensus Control in Uncertain Networked Euler-Lagrange Systems Based on Neural Network Strategy

This paper investigates the group consensus problem for a network consisting of Euler-Lagrange systems under directed topology with acyclic partition via neural network strategy. The neural network based controller achieves group consensus for uncertain networked Euler-Lagrange systems. By exploiting thoroughly the specific structure of the network topology, the stable analysis of the group consensus problem for such uncertain networked systems is also provided. Furthermore, a necessary and sufficient condition for ensuring that the systems reach group consensus is established. Finally, examples and simulations are given to show the effectiveness of the presented theoretical results.

Pinning impulsive synchronization in coupled delayed directed dynamical networks

In this brief, the issues of pinning synchronization in a coupled delayed directed dynamical network are investigated via impulsive control, and a simple yet generic criterion of pinning impulsive synchronization for such coupled network is derived analytically. It is shown that a single impulsive controller can always pin a given coupled delayed directed network to a desired homogenous solution. Subsequently, the theoretic results are illustrated by a typical small-world (SW) network composing of the well known Hodgkin-Huxley neuron oscillators. Numerical simulations are finally given to demonstrate the effectiveness of the proposed control methodology.

Synchronization of sampled-data networked harmonic oscillators with controller failure and communication time delays

This paper is concerned with the synchronization problem of networked harmonic oscillators in undirected networks with communication delays and controller failures. It is assumed that each oscillator updates its state based on the sampled velocity information relative to its neighbors at discrete moments. A distributed algorithm is proposed in virtue of time driven digital samplers and controllers and event driven zero-order holders. Some simple yet generic sufficient conditions on exponential convergence for such algorithm over, respectively, fixed and switching network topologies are presented by analyzing the analytic solution of the dynamical error system. Finally, numerical simulations are given to demonstrate the effectiveness and advantages of the proposed algorithm.