Dynamic system methods for solving mixed linear matrix inequalities and linear vector inequalities and equalities

DOI10.1016/j.amc.2010.02.010zbMath1195.65079OpenAlexW2016310529MaRDI QIDQ972166

Xiaolin Hu

Publication date: 25 May 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.02.010

zbMATH Keywords

convergencestability analysissemidefinite programmingnumerical examplesrecurrent neural networkgradient flowRunge-Kutta methodinterior point methodspositive semidefinite matricesdynamic systemmatrix inequality system

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Semidefinite programming (90C22) Quadratic programming (90C20) Linear programming (90C05) Interior-point methods (90C51) Linear inequalities of matrices (15A39)

Related Items (2)

Zhang neural networks for a set of linear matrix inequalities with time-varying coefficient matrix ⋮ ZNN for solving online time-varying linear matrix-vector inequality via equality conversion

Uses Software

• Matlab

Cites Work

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• Computing a nearest symmetric positive semidefinite matrix
• Neural networks based approach for computing eigenvectors and eigenvalues of symmetric matrix
• A recurrent neural network computing the largest imaginary or real part of eigenvalues of real matrices
• A functional neural network computing some eigenvalues and eigenvectors of a special real matrix
• Collective Computation With Continuous Variables
• An Interior-Point Method for Minimizing the Maximum Eigenvalue of a Linear Combination of Matrices
• Linear Matrix Inequalities in System and Control Theory
• Recurrent neural networks for solving linear inequalities and equations
• Semidefinite Programming
• Dynamical Behaviors of Delayed Neural Network Systems with Discontinuous Activation Functions

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