Two controllable canonical forms for single input complex network

The outstanding problem of controlling complex networks is relevant to many areas of science and engineering, and has the potential to generate technological breakthroughs as well. Despite the development of structural controllability theory, we continue to lack a framework to design controllable structure of complex networks. In this paper, we provide two canonical forms for controlling complex network. To fully control the canonical form structure, the minimum number of inputs (driver nodes) N_d = 1. The controllable canonical form provide a step forward from the current research on controllability toward ultimate control of complex networked dynamical systems.