Wenying Xu

Event-Triggered Schemes on Leader-Following Consensus of General Linear Multiagent Systems Under Different Topologies

This paper investigates the leader-following consensus for multiagent systems with general linear dynamics by means of event-triggered scheme (ETS). We propose three types of schemes, namely, distributed ETS (distributed-ETS), centralized ETS (centralized-ETS), and clustered ETS (clustered-ETS) for different network topologies. All these schemes guarantee that all followers can track the leader eventually. It should be emphasized that all event-triggered protocols in this paper depend on local information and their executions are distributed. Moreover, it is shown that such event-triggered mechanism can significantly reduce the frequency of controls update. Further, positive inner-event time intervals are assured for those cases of distributed-ETS, centralized-ETS, and clustered-ETS. In addition, two methods are proposed to avoid continuous communication between agents for event detection. Finally, numerical examples are provided to illustrate the effectiveness of the ETSs.

A New Framework for Analysis on Stability and Bifurcation in a Class of Neural Networks With Discrete and Distributed Delays

This paper studies the stability and Hopf bifurcation in a class of high-dimension neural network involving the discrete and distributed delays under a new framework. By introducing some virtual neurons to the original system, the impact of distributed delay can be described in a simplified way via an equivalent new model. This paper extends the existing works on neural networks to high-dimension cases, which is much closer to complex and real neural networks. Here, we first analyze the Hopf bifurcation in this special class of high dimensional model with weak delay kernel from two aspects: one is induced by the time delay, the other is induced by a rate parameter, to reveal the roles of discrete and distributed delays on stability and bifurcation. Sufficient conditions for keeping the original system to be stable, and undergoing the Hopf bifurcation are obtained. Besides, this new framework can also apply to deal with the case of the strong delay kernel and corresponding analysis for different dynamical behaviors is provided. Finally, the simulation results are presented to justify the validity of our theoretical analysis.

Discontinuous Observers Design for Finite-Time Consensus of Multiagent Systems With External Disturbances

This brief investigates the problem of finite-time robust consensus (FTRC) for second-order nonlinear multiagent systems with external disturbances. Based on the global finite-time stability theory of discontinuous homogeneous systems, a novel finite-time convergent discontinuous disturbed observer (DDO) is proposed for the leader-following multiagent systems. The states of the designed DDO are then used to design the control inputs to achieve the FTRC of nonlinear multiagent systems in the presence of bounded disturbances. The simulation results are provided to validate the effectiveness of these theoretical results.

A Layered Event-Triggered Consensus Scheme

This paper studies the dynamics of multiagent systems with a multilayer structure, proposing a novel layered event-triggered scheme (LETS) for consensus. This LETS emphasizes on synchronous information transmission in the same layer but asynchronous message update between different layers, which differs from the existing centralized or distributed event-triggered schemes. Moreover, under the LETS, agents in different layers achieve asymptotical consensus eventually and the Zeno behavior is successfully eliminated. Furthermore, an algorithm is provided to avoid continuous event detection, verified by a numerical example.

Leader-following consensus of general linear multi-agent systems: Event-triggered schemes

This paper proposes two different event-triggered controllers to effectively achieve the leader-following consensus in multi-agent systems with general linear dynamics. Here the topology among followers is allowed to be disconnected. A centralized event-triggered scheme is first introduced to guarantee that all followers can track the leader eventually. Besides, this control scheme significantly reduces the frequency of information transmission and controls update. Moreover, a novel clustered event-triggered controller is proposed in this paper, which saves more information transmission cost as compared with that of the centralized case. It should be emphasized that all event-triggered controllers in this paper depend on local information and their executions are distributed. Further, the positive inner-event time intervals are assured for these cases. Finally, numerical examples are provided to illustrate the effectiveness of the proposed event-triggered schemes.

Global robust stability and stabilization of Boolean network with disturbances

Abstract Based on semi-tensor product of matrices, global robust stability and stabilization of Boolean network (BN) with disturbances are investigated. Firstly, the definition of global robust stability for BN with disturbances is presented. By using the algebraic state space representation of disturbed BN, some necessary and sufficient criteria are obtained to ensure the global robust stability with respect to (w.r.t.) a fixed point or w.r.t. a limit cycle. In contrast, if a given disturbed BN is not globally robust stable w.r.t. a fixed point or w.r.t. a limit cycle, system can achieve stability by a matrix transformation technique. However, it is a difficult task to find such a suitable matrix transformation. In this paper, a pinning state feedback control design is proposed to find a suitable transformation. The obtained results are well illustrated by numerical example.

Finite/Fixed-Time Pinning Synchronization of Complex Networks With Stochastic Disturbances

This brief proposes a unified theoretical framework to investigate the finite/fixed-time synchronization of complex networks with stochastic disturbances. By designing a common pinning controller with different ranges of power parameters, both the goals of finite-time and fixed-time synchronization in probability for the network topology containing spanning trees can be achieved. Moveover, with the help of finite-time stochastic stability theory, two types of explicit expressions of finite/fixed (dependent/independent on the initial values) settling times are calculated as well. One numerical example is finally presented to demonstrate the effectiveness of the theoretical analysis.

Controllability for a special case of multi-level Boolean control networks

This paper investigates controllability problem for multi-level Boolean control networks (BCNs). In this paper, the controllability is investigated and two notions of controllability are presented, i.e. group-controllability and simultaneous-controllability. By resorting to Perron-Frobenius theorem, necessary and sufficient criteria are obtained to guarantee group-controllability and simultaneous-controllability respectively. Finally, a numerical example is presented to show the validness of our main results.