Sparsest representations and approximations of an underdetermined linear system
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DOI: 10.1088/1361-6420/aab246
Abstract: In an underdetermined linear system of equations, constrained l1 minimization methods such as the basis pursuit or the lasso are often used to recover one of the sparsest representations or approximations of the system. The… read more here.
Keywords: linear system; sparsest representations; basis pursuit; underdetermined linear ... See more keywords
RNN for Solving Perturbed Time-Varying Underdetermined Linear System With Double Bound Limits on Residual Errors and State Variables
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DOI: 10.1109/tii.2019.2909142
Abstract: Neural networks have been generally deemed as important tools to handle kinds of online computing problems in recent decades, which have plenty of applications in science and electronics fields. This paper proposes a novel recurrent… read more here.
Keywords: time; linear system; bound; time varying ... See more keywords
Prescribed Performance Control for Solving Time-Varying Underdetermined Linear Systems With Bounds on States and Their Derivatives
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DOI: 10.1109/tii.2022.3182997
Abstract: This article addresses the problem of finding online solutions to time-varying underdetermined linear systems with limits on states and their derivatives through a novel zeroing neural network (ZNN) implementation. The proposed model combines zeroing dynamics… read more here.
Keywords: time; underdetermined linear; varying underdetermined; time varying ... See more keywords
On a method for calculating generalized normal solutions of underdetermined linear systems
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DOI: 10.18287/2412-6179-co-607
Abstract: The article presents a novel algorithm for calculating generalized normal solutions of underdetermined systems of linear algebraic equations based on special extended systems. The advantage of this method is the ability to solve very poorly… read more here.
Keywords: underdetermined linear; solutions underdetermined; calculating generalized; generalized normal ... See more keywords