Finite-Time Synchronization of Markovian Jumping Complex Networks with Non-Identical Nodes and Impulsive Effects

Abstract

In this paper, we investigate the finite-time synchronization problem for a class of Markovian jumping complex networks (MJCNs) with non-identical nodes and impulsive effects. Sufficient conditions for the MJCNs are presented based on an M-matrix technique, Lyapunov function method, stochastic analysis technique, and suitable comparison systems to guarantee finite-time synchronization. At last, numerical examples are exploited to illustrate our theoretical results, and they testify the effectiveness of our results for complex dynamic systems.

Fixed‐time synchronization of stochastic complex networks with Markov jump and mixed delays via adaptive non‐chattering control

“…Remark So far, many scholars have studied the finite‐time synchronization of CNs, such as References 11‐15 and 24. For example, the finite‐time synchronization problems for a class of nonlinear coupled Markovian jump delay CNs with stochastic noises and a class of linear coupled Markovian jump delay CNs with stochastic noises are investigated in Reference 24.…”

“…In real life, people often hope that the synchronization goal can be achieved as quickly as possible. In recent years, in order to further meet scientific research and practical needs, people have put forward the concept of finite‐time synchronization 11‐15 . Finite‐time synchronization has the best convergence rate, and can enable synchronization to be achieved within a finite time.…”

Finite-Time Antisynchronization and Parameters Identification of Nonlinear Coupled Multiple-Weight Markovian Switching Complex Networks with Stochastic Perturbations

“…In most of the networks considered above, researchers assume that the topology of the network is fixed, but this requirement is very strict in practical applications and only reflects ideal situations. In actual conditions, due to machine failure or maintenance, stochastic disturbances, and other reasons, the topology of the actual network will always change with time varying [14]. It is found through research that this random switching may depend on the Markovian process.…”

“…Hence, it is very valuable to study the finite-time synchronization of complex networks. In [14], based on an M-matrix technique and stochastic analysis technique, synchronization of Markovian jumping complex networks was achieved in a finite time. In [22], finite-time synchronization for Markovian jumping complex dynamical frameworks with hybrid couplings is studied.…”

Finite‐time synchronization and identification of the Markovian switching delayed network with multiple weights

“…This is because finite time control technology not only allows engineers to know the specific time of system synchronization, but also saves synchronization time and reduces control costs. In addition, in the synchronization process of the system, the finite-time control method has also shown better robustness [33,34]. Based on finite-time technology and intermittent control, synchronization of complex dynamical networks with Markovian switching topologies is realized in [35].…”