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Relevence of the Hankel matrix to optimization problem can be found in [5 8].
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Since we apply an approximate Hessian matrix to assist the Newton optimization, a fast convergence is achieved.
An application of a new L1-optimal control technique based on linear matrix inequality optimization to a wind turbine-induction generator unit is presented.
The PRS proves to be more robust to the matrix optimization procedure as the correlation between the solution of (3) and the original matrix was much greater (R = 0.92) than for the Gilis matrix (R = 0.67).
Moreover, the paper proposes an algorithm to solve such problem using two-stage iterative matrix inequality optimization approach to determine the decentralized controller.
Unfortunately, the use of such techniques often leads to complex matrix optimization problems.
In mathematics, low-rank approximation is a minimization problem, in which the cost function measures the fit between a given matrix (the data) and an approximating matrix (the optimization variable), subject to a constraint that the approximating matrix has reduced rank.
Low-rank approximation (LRA) is an important matrix analysis method, in which the cost function measures the fit between a given sparse matrix and an approximating matrix (the optimization variable), subject to a constraint that the approximating matrix has reduced rank [ 26].
By introducing the concept of reusability and a new formulation of compatibility matrix, an optimization model is proposed to solve component selection problem considering reusability and compatibility simultaneously.
The developed saturated control scheme is based on linear matrix inequality (LMI) optimization to achieve prescribed dynamic performance measures, e.g., settling time and damping ratio.
SVM-based method MHC2PRED 54 utilized matrix optimization techniques to identify the 9-mer binding cores from Class II HLA binders.
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