Quasi-Synchronization of Heterogeneous Networks With a Generalized Markovian Topology and Event-Triggered Communication

Abstract

We consider the quasi-synchronization problem of a continuous time generalized Markovian switching heterogeneous network with time-varying connectivity, using pinned nodes that are event-triggered to reduce the frequency of controller updates and inter-node communications. We propose a pinning strategy algorithm to determine how many and which nodes should be pinned in the network. Based on the assumption that a network has limited control efficiency, we derive a criterion for stability, which relates pinning feedback gains, the coupling strength and the inner coupling matrix. By utilizing the stochastic Lyapunov stability analysis, we obtain sufficient conditions for exponential quasi-synchronization under our stochastic event-triggering mechanism, and a bound for the quasi-synchronization error. Numerical simulations are conducted to verify the effectiveness of the proposed control strategy.

Sampled-Data-Based $\mathcal {H}_{\infty }$ Fuzzy Pinning Synchronization of Complex Networked Systems With Adaptive Event-Triggered Communications

“…In [28], by developing an event-triggered pinning control mechanism, Wu et al studied the issue of consensus for nonlinear multiagent systems. The quasi-synchronization of networked systems with limited control efficiency was investigated in [29] by using an event-triggered control algorithm. In [30], sufficient conditions for fuzzy CNSs related to the event-triggered communication method and nonuniform sampling interval were derived.…”

Event‐triggered scheduling for pinning networks of coupled dynamical systems under stochastically fast switching

“…In recent decades, a number of researchers have suggested that the event-based control algorithms can reduce communication and computation loads in networked systems while maintaining control performance [13][14][15][16][17][18][19][20][21]. Dimarogonas et al [13] investigated centralized and distributed formulation of eventdriven strategies for consensus of multi-agent systems.…”

“…In [16,17], consensus problem of second-order multi-agent systems with event-triggered control was investigated. Eventtriggered control was also applied to pinning synchronization problem of complex networks [18][19][20][21]. Lu et al [18] studied pinning synchronization of linearly coupled dynamical systems with time-varying coupling matrix and pinned node set induced by a Markov chain.…”

“…Liu et al [20] investigated cluster pinning synchronization problem for complex dynamical networks with switching signal characterized by average dwell-time constraint. In [21], the pinning quasi-synchronization problem of Markovian switching heterogeneous networks was studied. In [22], a novel memory sampled-data control scheme was proposed to ensure the synchronization of semi-Markov jumping complex networks.…”

Restricted Stabilization of Markovian Jump Systems Based on a Period and Random Switching Controller

“…The other one is eventdriven mechanism and named as operation mode driven by a Markov chain. During the past decades, a lot of topics on all kinds of MJSs have been studied such as stability [3]- [6], stabilization [7]- [13], H ∞ control [14]- [16] and filtering [17]- [21], fault detection [22]- [24], estimation [25], [26], adaptive control [27], [28], synchronization [29], and so on.…”