In this paper, we investigate the finite-time stochastic synchronization problem of two chaotic systems with noise perturbation. We propose new adaptive controllers, with which we can synchronize two chaotic systems in finite time. Sufficient conditions for the finite-time stochastic synchronization are derived based on the finite-time stability theory of stochastic differential equations. Finally, some numerical examples are examined to demonstrate the effectiveness and feasibility of the theoretical...

The topology identification issue of complex stochastic network with delay and stochastic disturbance is mainly introduced in this paper. It is known the time delay and stochastic disturbance are ubiquitous in real network, and they will impair the identification of network topology, and the topology capable of identifying the network within specific time is desired on the other hand. Based on these discussions, the finite-time identification method is proposed to solve similar issues problems....