Finite-Time Distributed Linear Equation Solver for Solutions With Minimum $l_1$-Norm.

Autor: Zhou, Jingqiu, Wang, Xuan, Mou, Shaoshuai, Anderson, Brian. D. O.
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Zdroj: IEEE Transactions on Automatic Control; Apr2020, Vol. 65 Issue 4, p1691-1696, 6p
Abstrakt: 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]
Databáze: Complementary Index