Title
Control Energy Of Lattice Graphs
Abstract
The control of complex networks has generated considerable interest in a variety of fields from traffic management to neural systems. A commonly used metric to compare two particular control strategies that accomplish the same task is the control energy, the time-integral of the sum of squares of all control inputs. The minimum control energy problem determines the control input that lower bounds all other control inputs with respect to their control energies. Here, we focus on the infinite lattice graph with linear dynamics and analytically derive the expression for the minimum control energy in terms of the modified Bessel function. We then demonstrate that the control energy of the infinite lattice graph accurately predicts the control energy of finite lattice graphs.
Year
DOI
Venue
2018
10.1109/cdc.2018.8619267
2018 IEEE CONFERENCE ON DECISION AND CONTROL (CDC)
DocType
Volume
ISSN
Conference
abs/1808.05554
0743-1546
Citations 
PageRank 
References 
0
0.34
0
Authors
2
Name
Order
Citations
PageRank
Isaac S. Klickstein112.39
Francesco Sorrentino2349.90