Title :
Fast consensus of directed network via optimal pinning control
Author :
Yang Wen ; Wang Ying ; Wang Xiaofan
Author_Institution :
Key Lab. of Adv. Control & Optimization for Chem. Processes, East China Univ. of Sci. & Technol., Shanghai, China
Abstract :
In this paper, we consider fast and desired consensus of directed network via pinning control. First, we provide a sufficient condition for the stability of desired consensus algorithm. Second, we investigate the problem of selecting optimal pinned nodes for driving fastest consensus, which is formulated as an Mixed-Integer Semidefinite Program. Finally, we illustrate all the results by simulating on some typical directed networks.
Keywords :
integer programming; optimal control; stability; desired consensus algorithm; mixed integer semidefinite program; optimal pinned nodes; optimal pinning control; stability; typical directed networks; Complex networks; Convergence; Eigenvalues and eigenfunctions; Optimization; Switches; Convex optimization; Fast consensus; Node selection;
Conference_Titel :
Control Conference (CCC), 2013 32nd Chinese
Conference_Location :
Xi´an