A discontinuous algorithm for distributed convex optimization

PILLONI, ALESSANDRO;PISANO, ALESSANDRO;FRANCESCHELLI, MAURO;USAI, ELIO
2016

Abstract

In this paper we present a novel discontinuous algorithm which cooperatively solves a distributed convex multi-agent optimization problem under a consensus constraint. The team performance function is the sum of local quadratic objective functions which are known to the local agent only. The proposed local interaction rule between the agents employs the subgradient of the local objective function along with a PI-like discontinuous component enforcing consensus between the agents' states in finite-time. Under mild assumptions on the local cost, a formal Lyapunov analysis confirms the convergence properties of the algorithm towards the optimal solution of the considered problem. To corroborate the theoretical results simulative analysis are presented.
Inglese
2016 14th International Workshop on Variable Structure Systems (VSS)
9781467397889
IEEE Computer Society
22
27
6
https://ieeexplore.ieee.org/document/7506884
14th International Workshop on Variable Structure Systems, VSS 2016
Contributo
Esperti anonimi
1-4 June 2016
Nanjing, China
internazionale
scientifica
Control and Systems Engineering; Electrical and Electronic Engineering
no
4 Contributo in Atti di Convegno (Proceeding)::4.1 Contributo in Atti di convegno
Pilloni, Alessandro; Pisano, Alessandro; Franceschelli, Mauro; Usai, Elio
273
4
4.1 Contributo in Atti di convegno
reserved
info:eu-repo/semantics/conferencePaper
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