Robust distributed synchronization of networked linear systems with intermittent information

Abstract

The problem of synchronization of multiple linear time-invariant systems connected over a network with asynchronous and intermittently available communication events is studied. To solve this problem, we propose a controller with hybrid dynamics, namely, the controller utilizes information transmitted to it during discrete communication events and exhibits continuous dynamics between such events. Due to the additional continuous and discrete dynamics inherent to the interconnected networked systems and communication structure, we use a hybrid systems framework to model and analyze the closed-loop system. The problem of synchronization is then recast as a set stabilization problem and, by employing Lyapunov stability tools for hybrid systems, sufficient conditions for asymptotic stability of the synchronization set are provided. Furthermore, we show that the property of synchronization is robust to perturbations. Numerical examples illustrating the main results are included.

Synchronization Analysis of Complex Dynamical Networks Subject to Delayed Impulsive Disturbances

“…Considering the feedback control involving impulsive disturbances into account, one can see that synchronization is achieved with a fast rate of convergence, see Figures 7(a)-7(d). Note that those synchronization criteria in [14,18,19,31] are infeasible for the abovementioned example due to the existence of delayed impulsive disturbance. Here, our proposed Complexity theoretical result has wider applications than those existing results.…”

“…As a type of complex networks, coupled neural networks have received great attention and a lot of previous studies mainly focused on stability and stabilization analysis [9][10][11][12][13]. Since synchronization is a widespread collective behavior in nature that has been broadly used in various domains, such as information science, signal processing, and communication system [14][15][16][17][18][19][20]. More and more investigators devote to investigating the various types of synchronization of complex networks: phase synchronization [21], complete synchronization [22], and cluster synchronization [23].…”

Observer-based Synchronization of Multi-agent Systems Using Intermittent Output Measurements

“…The matrix (16) captures the (linear) continuous-time evolution of the hybrid system in the error coordinates between event times and (17) captures the update at event times, i.e., when τ = 0.…”

“…This work builds on and combines our previous work in [15] and [16]. Namely, in [15], we consider a state estimation problem of a single agent through a distributed sensor network where information is exchanged between agents asynchronously.…”

“…Namely, in [15], we consider a state estimation problem of a single agent through a distributed sensor network where information is exchanged between agents asynchronously. In [16], we consider the synchronization problem as in this work, however, each agent has full access to the state of its neighbors. The main contribution of this work is merging these algorithms since, as it turns out, each agent must have numerous local states to generate the estimates of the state of its neighbors.…”