Induced L∞ Quantized Control for Exponential Synchronization of Complex Network Subject To Periodic Switched Coefficients

In this article, an induced
$\mathcal L_{\infty }$
synchronization controller design problem is proposed for the complex network with periodic switched coefficients under the dynamic quantization scheme. A novel periodic dynamic quantization scheme is utilized to handle the transmitted control signal to avoid the undesired networked problem, in which, the variables to be designed are introduced as parameter-dependent variables corresponding to the periodic switched coefficients of the complex network to increase the flexibility. Then, by using a robust-model-based approach, the dynamics of the synchronization error are modeled by a special uncertain system. The main purpose of the problem addressed is to design a synchronization controller, such that the complex network is exponentially synchronized with an induced
$\mathcal L_{\infty }$
performance. Sufficient conditions are established to guarantee the synchronization task. Next, the design conditions of both of synchronization controller and parameter-dependent variables related the dynamic adjustable parameter are characterized by the convex problem. An example demonstrates the proposed controller design criteria and the dynamic quantization scheme.