Dynamic event-triggered H∞ synchronization control for 2-D switched complex networks with actuator faults

This manuscript proposes an adaptive backstepping synchronous control method with full state constraints by drawing into the time-varying barrier Lyapunov functions (T-BLFs) for a kind of uncertain switched complex networks. Generally, a complex dynamic network in practical terms either possesses a switched topology or its nodes are with switched parameters. In this context, the synchronisation problem of the switched complex network is tackled by utilising adaptive backstepping method after converting switched complex network into the non-autonomous strict feedback form. Meanwhile, most of the system states are supposed to be constrained during the switch over the procedure. Thus, the constraint-handling method based on T-BLFs is developed in the backstepping process to guarantee the full state restriction boundaries are not violated, and then to realise the asymptotic stability of the nodes states of the switched complex networks. Four simulation examples are presented to verify the feasibility and effectiveness of the proposed control approach.

We investigate the asymptotic synchronization problem of switched complex networks (SCNs) on time scales. Switches are made by a following time sequence with a dwell time constraint. By designing a Lyapunov function and a matrix inequality, self‐synchronizing criteria for SCNs are derived based on time scales theory. An impulsive coupling approach is designed to control links between nodes at the impulsive time. It is shown that the non‐synchronized SCNs can be synchronized by impulsive coupling with interval constraint. Three simulations on different time scales verify the effectiveness of our conclusions.

In this paper, we investigate the synchronisation control problem for a class of discrete-time switched complex networks with time-varying delays via a coding–decoding-based approach. An observer-based control scheme is proposed for each node by utilising the outputs of complex networks. The data are transmitted in a digital manner and only the sequence of finite coded signals is sent from the observer to the controller. We design a proper coding–decoding procedure for each node to ensure that the closed-loop networks achieve the expected synchronisation performance. By applying the average dwell-time switching strategy and a uniform quantisation approach, some criteria are firstly presented to ensure the detectability of the complex networks. Then sufficient conditions are provided for the existence of desired observer-based controller, guaranteeing the synchronisation of complex networks. Finally, a numerical example is given to illustrate the effectiveness of the obtained theoretical results.

The synchronization control problem for a class of switched complex networks with additive time-varying delays is studied.Firstly,the switched complex network drive-response system for system node parameter switching is studied.The appropriate Lyapunov function is constructed under the influence of additive time delay.According to Lyapunov stability theory and inequality technique,the sufficient conditions for mean-square exponential synchronization of the system are obtained.And these conclusions are expressed by linear matrix inequality (LMI).Secondly,the matrix inequality is solved by using LMI toolbox to synchronize the master-slave system.Finally,a numerical example is given to verify the effectiveness of the proposed method.

This paper studies the global pinning synchronization problem for a class of complex networks with switching directed topologies. The common assumption in the existing related literature that each possible network topology contains a directed spanning tree is removed in this paper. Using tools from M -matrix theory and stability analysis of the switched nonlinear systems, a new kind of network topology-dependent multiple Lyapunov functions is proposed for analyzing the synchronization behavior of the whole network. It is theoretically shown that the global pinning synchronization in switched complex networks can be ensured if some nodes are appropriately pinned and the coupling is carefully selected. Interesting issues of how many and which nodes should be pinned for possibly realizing global synchronization are further addressed. Finally, some numerical simulations on coupled neural networks are provided to verify the theoretical results.

This paper investigates the design of a reduced‐order filter for a specific class of switched complex network systems with time‐varying delays. To handle the nonlinear components of the complex network, a T‐S fuzzy model is employed to convert them into a set of linear components. To tackle the issue of heavy network load, a memory‐based adaptive trigger mechanism is proposed. In this study, a reduced‐order state estimator is designed using the T‐S fuzzy model. To demonstrate the exponential stability of the error system, a suitable Lyapunov function is constructed based on the Lyapunov stability principle. The parameter matrix of the reduced‐order estimator is determined using the linear matrix inequality and convex linearization method. Additionally, a sufficient condition for the exponential stability of the error system at the suppression level is provided. Finally, the feasibility of the proposed scheme is validated through a simulation experiment.

This paper investigates the aperiodically intermittent synchronization for a class of directed complex networks with switching network topologies. The assumption that all of the switching topologies contain a directed spanning tree is removed which is necessary in the previous related literature. That is, only some switching topologies contain a directed spanning tree when zero-in-degree nodes are pinned. By using M-matrix theory and constructing multiple Lyapunov functions, some sufficient conditions are derived to achieve the aperiodically intermittent synchronization of switching complex networks. Finally, some numerical simulations are given to demonstrate the theoretical results.

Synchronization of directed switched complex networks with stochastic link perturbations and mixed time-delays

This study is concerned with the event-driven synchronization for discrete-time switched complex networks. To mitigate the transmission frequency, the dynamic event-triggered mechanism is introduced to orchestrate information transmission. In addition, the investigated complex networks are subject to the unknown nonrandom perturbation with bounded peak, and thus, conventional approaches do not apply, and new approaches are required. For handling this situation, a novel reachable-set-based synchronization technique is then established. With the dwell time switching strategy, sufficient conditions with less conservativeness are formulated, under which the synchronization error is attracted exponentially to a bounded closed region for any initial conditions. Alternatively, for some specified initial sets, the synchronization error is constrained permanently in a bounded closed set. Finally, numerical simulations substantiate the effectiveness and applicability of the theoretical results.

Global pinning synchronization in complex networks has been extensively studied in the last decades due to its potential applications. One common assumption in most of the existing literature within this context is that the underlying network structure of the augmented network with pinning links is static. This paper aims to provide some simple yet efficient criteria for ensuring global pinning synchronization in complex directed networks with a time-varying network structure. The analytical results are derived by using a combined tool from M-matrix method and stability analysis of switched systems. It is theoretically shown that the global pinning synchronization in switched complex networks can be ensured if the augmented network contains a directed spanning tree frequently enough and some suitable conditions are satisfied. The effectiveness of the analytical analysis is verified by some numerical simulations.

In this paper, we study the synchronization problem for switched complex networks with delayed coupling via semi-periodically intermittent control technique and a mode-dependent average dwell time method. The mathematical model of switched complex networks is established, and the networks switch among a finite number of subnetworks in accordance with a switching rule. By applying multiple Lyapunov function method and the mode-dependent average dwell time (MDADT) approach, less conservative synchronization criteria are derived based on a sequence of solvable linear matrix inequalities. Particularly, the conventional synchronization conditions are improved by using semi-periodically intermittent control and MDADT approach. Moreover, delayed coupling may affect the stability of the switched complex networks. In this paper, novel synchronization criteria are derived to deal with the relations between time delay and other parameters appropriately. Finally, a numerical example is provided to demonstrate the effectiveness of the derived theoretical results.

Event-triggering [formula omitted] synchronization for discrete time switched complex networks via the quasi-time asynchronous controller

Adaptive event-triggered control of Markovian jump complex dynamic networks with actuator faults

H∞ synchronization of switched complex networks: A switching impulsive control method

Effects of impulse on prescribed-time synchronization of switching complex networks