Global Synchronization of Delayed Complex Networks with Hybrid Coupling, Control Design of Actuator Saturation, and Stochastic Disturbances with Randomly Occurring Nonlinearities

Abstract

In this paper, we propose and study a global synchronization of delayed complex networks with hybrid coupling, which is composed of constant coupling, discrete-delay coupling, and unbounded distributed-delay coupling, and its actuator saturation control design is then further investigated. Several effective sufficient conditions of global synchronization are attained based on the Lyapunov function and a linear matrix inequality (LMI), which can be easily computed by the interior-point method. In addition, we established the control design of actuator saturation of the addressed stochastic delayed complex networks. More relaxed conditions by employing the new type of augmented matrices by using multitude Kronecker product terms can be handled, which can be introduced. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed synchronization scheme.