화학공학소재연구정보센터
IEEE Transactions on Automatic Control, Vol.65, No.4, 1691-1696, 2020
Finite-Time Distributed Linear Equation Solver for Solutions With Minimum l(1)-Norm
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.