TY - JOUR
T1 - Geometric Characterization of the H-Property for Step-Graphons
AU - Belabbas, Mohamed Ali
AU - Chen, Xudong
N1 - Publisher Copyright:
© 1963-2012 IEEE.
PY - 2024/6/1
Y1 - 2024/6/1
N2 - In a recent article (Belabbas et al., 2022), we have exhibited a set of conditions that are necessary for the H-property to hold for the class of step-graphons. In this article, we prove that these conditions are essentially sufficient.
AB - In a recent article (Belabbas et al., 2022), we have exhibited a set of conditions that are necessary for the H-property to hold for the class of step-graphons. In this article, we prove that these conditions are essentially sufficient.
KW - Agents and autonomous systems
KW - graphons and graph theory
KW - network analysis and control
KW - stochastic systems
UR - http://www.scopus.com/inward/record.url?scp=85178041679&partnerID=8YFLogxK
U2 - 10.1109/TAC.2023.3335252
DO - 10.1109/TAC.2023.3335252
M3 - Article
AN - SCOPUS:85178041679
SN - 0018-9286
VL - 69
SP - 3849
EP - 3864
JO - IEEE Transactions on Automatic Control
JF - IEEE Transactions on Automatic Control
IS - 6
ER -