Geodesic
Multi-agent network flows that solve linear complementarity problems
Kybernetika, Tome 54 (2018) no. 3, pp. 542-556.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

In this paper, we consider linear complementarity problems with positive definite matrices through a multi-agent network. We propose a distributed continuous-time algorithm and show its correctness and convergence. Moreover, with the help of Kalman-Yakubovich-Popov lemma and Lyapunov function, we prove its asymptotic convergence. We also present an alternative distributed algorithm in terms of an ordinary differential equation. Finally, we illustrate the effectiveness of our method by simulations.
DOI : 10.14736/kyb-2018-3-0542
Classification : 68W15, 90C33
Keywords: distributed algorithm; linear complementarity problem; multi-agent network; nonsmooth algorithm; continuous-time algorithm 
@article{10_14736_kyb_2018_3_0542,
     author = {Liang, Shu and Zeng, Xianlin},
     title = {Multi-agent network flows that solve linear complementarity problems},
     journal = {Kybernetika},
     pages = {542--556},
     publisher = {mathdoc},
     volume = {54},
     number = {3},
     year = {2018},
     doi = {10.14736/kyb-2018-3-0542},
     mrnumber = {3844831},
     zbl = {06987021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.14736/kyb-2018-3-0542/}
}
TY  - JOUR
AU  - Liang, Shu
AU  - Zeng, Xianlin
TI  - Multi-agent network flows that solve linear complementarity problems
JO  - Kybernetika
PY  - 2018
SP  - 542
EP  - 556
VL  - 54
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.14736/kyb-2018-3-0542/
DO  - 10.14736/kyb-2018-3-0542
LA  - en
ID  - 10_14736_kyb_2018_3_0542
ER  - 
%0 Journal Article
%A Liang, Shu
%A Zeng, Xianlin
%T Multi-agent network flows that solve linear complementarity problems
%J Kybernetika
%D 2018
%P 542-556
%V 54
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.14736/kyb-2018-3-0542/
%R 10.14736/kyb-2018-3-0542
%G en
%F 10_14736_kyb_2018_3_0542
Liang, Shu; Zeng, Xianlin. Multi-agent network flows that solve linear complementarity problems. Kybernetika, Tome 54 (2018) no. 3, pp. 542-556. doi : 10.14736/kyb-2018-3-0542. http://geodesic.mathdoc.fr/articles/10.14736/kyb-2018-3-0542/

Cité par Sources :