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Finite-Time Distributed Linear Equation Solver for Solutions With Minimum $l_1$-Norm.
- Source :
- IEEE Transactions on Automatic Control; Apr2020, Vol. 65 Issue 4, p1691-1696, 6p
- Publication Year :
- 2020
-
Abstract
- This paper proposes a continuous-time distributed algorithm for multiagent networks to achieve a solution with the minimum $l_1$ -norm to underdetermined linear equations. The proposed algorithm comes from a combination of the Filippov set-valued map with the projection-consensus flow. Given the underlying network is undirected and fixed, it is shown that the proposed algorithm drives all agents’ individual states to converge in finite time to a common value, which is the minimum $l_1$ -norm solution. [ABSTRACT FROM AUTHOR]
- Subjects :
- LINEAR equations
SET-valued maps
DISTRIBUTED algorithms
ALGORITHMS
SIGNAL processing
Subjects
Details
- Language :
- English
- ISSN :
- 00189286
- Volume :
- 65
- Issue :
- 4
- Database :
- Complementary Index
- Journal :
- IEEE Transactions on Automatic Control
- Publication Type :
- Periodical
- Accession number :
- 143316664
- Full Text :
- https://doi.org/10.1109/TAC.2019.2932031