Stochastic synchronization of delayed multiagent networks with intermittent communications: An impulsive framework

Abstract

Summary This paper investigates the stochastic synchronization problem of delayed multiagent networks with intermittent communications. Two kinds of impulsive effects are taken into account, ie, impulsive controller (positive impulsive effect) and impulsive disturbance (negative impulsive effect). Impulsive controller allows the synchronization to be realized and requires only state information exchange at discrete time instants such that the communication cost of bandwidth is reduced. Meanwhile, impulsive disturbance is inevitable in most of practical systems and therefore is taken into consideration at discrete time instants. Sufficient conditions for synchronization are given in terms of the graph topology, the control coupling gains, and the individual agent dynamics parameters, which indicates that synchronization can be realized if the impulsive effects coefficients and communication rate are suitably selected. Simulation results verify the effectiveness of the proposed synchronization protocol.

Impulsive Synchronization of Fractional-Order Chaotic Systems With Actuator Saturation and Control Gain Error

“…Since the error is decreasing over time, there is no saturation appearance any more when error is small enough (|b k e i (t k )| ≤ ) and H (t k ) becomes a unit matrix. Because η k is related to τ k , since η k is a constant, from (18) we can get that the impulsive interval is a constant value. Therefore, it can conclude that there is no saturation appearance when the impulsive interval reaches a constant value.…”

Guaranteed Cost for an Event-Triggered Consensus Strategy for Interconnected Two Time-Scales Systems With Structured Uncertainty

“…Moreover, in order to extend the life cycle of devices we are often interested to minimize the number of interactions and implicitly the number of control updates. There are many effective way to save the communication and control resources, for example, impulsive control [6], periodic sampling control [7], intermittent control [8], event-triggered control [9]- [11] and the combination of these strategies [12]. Among all these strategies, eventtriggered strategy is very attractive since each system only needs to update control actuation and communicate with neighbors when a pre-defined event is triggered.…”

Iterative learning control for multi-agent systems with impulsive consensus tracking

“…In this regard, Cui conducted related research in [6]. However, very few existing papers considered the consensus problem of MASs with impulse, for examples, [8,14,16,21,32,35,36,38], in the conventional consensus framework. In addition, impulsive control approach is advantageous in simplicity and flexibility for such kind of systems because the standard continuous state information is not required.…”