Title
Minimum Cost Control of Directed Networks With Selectable Control Inputs.
Abstract
The minimum cost control problem is one of the most important issues in controlling complex networks. Different from the previous works, in this paper, we consider the minimum cost control problem with selectable inputs by adopting the cost function summed over both quadratic terms of system input and system state with a weighting factor. To address such an issue, the orthonormal-constraint-based projected gradient method is proposed to determine the input matrix iteratively. Convergence of the proposed algorithm is established. Extensive simulation results are carried out to show the effectiveness of the proposed algorithm. We also investigate what kinds of nodes are most important for minimizing average control cost in directed stems/circles and small networks through simulation studies. The presented results in this paper bring meaningful physical insights in controlling the directed networks from an energy point of view.
Year
DOI
Venue
2019
10.1109/TCYB.2018.2868507
IEEE transactions on cybernetics
Keywords
Field
DocType
Cost function,Controllability,Linear systems,Complex networks,Boundary conditions,Cybernetics
Convergence (routing),Gradient method,Mathematical optimization,Linear system,Controllability,Matrix (mathematics),Quadratic equation,Complex network,Cybernetics,Mathematics
Journal
Volume
Issue
ISSN
49
12
2168-2275
Citations 
PageRank 
References 
2
0.37
14
Authors
4
Name
Order
Citations
PageRank
Guoqi Li138746.18
Jie Ding2103.56
Changyun Wen33686284.86
Jiangshuai Huang438618.80