Imperial College London
Portrait Picture

Prof David Angeli

Faculty of Engineering, Department of Electrical and Electronic Engineering

Professor of Nonlinear Network Dynamics
 
 
 
//

Contact

 

+44 (0)20 7594 6283d.angeli Website

 
 
//

Location

 

1107CElectrical EngineeringSouth Kensington Campus

//

Summary

 

Publications

Citation

BibTex format

@article{Manfredi:2017:10.1016/j.automatica.2016.11.037,
author = {Manfredi, S and Angeli, D},
doi = {10.1016/j.automatica.2016.11.037},
journal = {Automatica},
pages = {51--60},
title = {Necessary and sufficient conditions for consensus in nonlinear monotone networks with unilateral interactions},
url = {http://dx.doi.org/10.1016/j.automatica.2016.11.037},
volume = {77},
year = {2017}
}
Download

RIS format (EndNote, RefMan)

TY  - JOUR
AB  - This paper deals with an extended framework of the distributed asymptotic agreement problem by allowing the presence of unilateral interactions (optimistic or pessimistic) in place of bilateral ones, for a large class of nonlinear monotone time-varying networks. In this original setup we firstly introduce notions of unilateral optimistic and/or pessimistic interaction, of associated bicolored edge in the interaction graph and a suitable graph-theoretical connectedness property. Secondly, we formulate a new assumption of integral connectivity and show that it is sufficient to guarantee exponential convergence towards the agreement subspace. Finally, we show that the proposed conditions are also necessary for consensuability and discuss how the new notions of bicolored graph and related connectivity concepts encompass the usual criteria in the standard case of bilateral interactions. Theoretical advances are emphasized through illustrative examples given both to support the discussion and to highlight how the proposed framework extends all existing conditions for consensus of monotone networks.
AU  - Manfredi,S
AU  - Angeli,D
DO  - 10.1016/j.automatica.2016.11.037
EP  - 60
PY  - 2017///
SN  - 0005-1098
SP  - 51
TI  - Necessary and sufficient conditions for consensus in nonlinear monotone networks with unilateral interactions
T2  - Automatica
UR  - http://dx.doi.org/10.1016/j.automatica.2016.11.037
UR  - http://hdl.handle.net/10044/1/44710
VL  - 77
ER  -
Download