Distributed weight balancing over digraphs

• A weighted digraph is balanced if, for each node, the sum of the weights of the edges outgoing from that node is equal to the sum of the weights of the edges incoming to that node. Weight-balanced digraphs play a key role in a number of applications, including cooperative control, distributed optimization, and distributed averaging. We propose distributed algorithms that operate over static topologies, for solving the weight-balancing problem when the weights are either non-negative real numbers or when they are restricted to be non-negative integers. For the case of real weights, the proposed algorithm is shown to admit a geometric convergence rate. For the case of integer weights, the proposed algorithm is shown to converge after a finite number of iterations that we explicitly bound. We also provide examples to illustrate the operation, performance, and potential advantages of the proposed algorithms.

Ämnesord

TEKNIK OCH TEKNOLOGIER  -- Elektroteknik och elektronik -- Reglerteknik (hsv//swe)

ENGINEERING AND TECHNOLOGY  -- Electrical Engineering, Electronic Engineering, Information Engineering -- Control Engineering (hsv//eng)

Nyckelord

Control engineering

Balanced digraphs

Balancing problems

Co-operative control

Convergence rates

Distributed averaging

Distributed optimization

Nonnegative integers

Weighted digraph

Directed graphs

Publikations- och innehållstyp

ref (ämneskategori)

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