TY - GEN
T1 - Distributed Method of Multiplier for Coupled Lagrangian Problems
T2 - 2018 Annual American Control Conference, ACC 2018
AU - Rawat, Abhishek
AU - Elia, Nicola
PY - 2018/8/9
Y1 - 2018/8/9
N2 - In this paper, we propose a method for solving the distributed optimization problem in which the objective function is the sum of separable convex functions with linear constraints. In our approach, the primal variable is partially updated to make the Method of Multiplier algorithm distributed which is based on the suitable scaling of constraint matrix. The algorithm is then viewed as a dynamical system the convergence analysis of which is done using the passivity concepts of nonlinear control theory. The convexity of the function is related to the passivity of the non-linear functions which is in feedback with the positive real linear system.
AB - In this paper, we propose a method for solving the distributed optimization problem in which the objective function is the sum of separable convex functions with linear constraints. In our approach, the primal variable is partially updated to make the Method of Multiplier algorithm distributed which is based on the suitable scaling of constraint matrix. The algorithm is then viewed as a dynamical system the convergence analysis of which is done using the passivity concepts of nonlinear control theory. The convexity of the function is related to the passivity of the non-linear functions which is in feedback with the positive real linear system.
UR - http://www.scopus.com/inward/record.url?scp=85052570604&partnerID=8YFLogxK
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U2 - 10.23919/ACC.2018.8431650
DO - 10.23919/ACC.2018.8431650
M3 - Conference contribution
AN - SCOPUS:85052570604
SN - 9781538654286
T3 - Proceedings of the American Control Conference
SP - 6475
EP - 6480
BT - 2018 Annual American Control Conference, ACC 2018
PB - Institute of Electrical and Electronics Engineers Inc.
Y2 - 27 June 2018 through 29 June 2018
ER -