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• W2493798982 abstract "This paper studies distributed algorithms for the extended monotropic optimization problem, which is a general convex optimization problem with a certain separable structure. The considered objective function is the sum of local convex functions assigned to agents in a multi-agent network, with private set constraints and affine equality constraints. Each agent only knows its local objective function, local constraint set, and neighbor information. We propose two novel continuous-time distributed subgradient-based algorithms with projected output feedback and derivative feedback, respectively, to solve the extended monotropic optimization problem. Moreover, we show that the algorithms converge to the optimal solutions under some mild conditions, by virtue of variational inequalities, Lagrangian methods, decomposition methods, and nonsmooth Lyapunov analysis. Finally, we give two examples to illustrate the applications of the proposed algorithms." @default.
• W2493798982 created "2016-08-23" @default.
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• W2493798982 date "2016-08-03" @default.
• W2493798982 modified "2023-09-28" @default.
• W2493798982 title "Continuous-Time Distributed Algorithms for Extended Monotropic Optimization Problems" @default.
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• W2493798982 doi "https://doi.org/10.48550/arxiv.1608.01167" @default.
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