The \(D\)-decomposition technique for linear matrix inequalities

DOI10.1134/S0005117906110063zbMath1195.93044OpenAlexW1966454199MaRDI QIDQ885770

P. S. Shcherbakov, Boris T. Polyak

Publication date: 14 June 2007

Published in: Automation and Remote Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0005117906110063

Mathematics Subject Classification ID

Related Items (5)

Efficient sampling in spectrahedra and volume approximation ⋮ Optimization of linear systems subject to bounded exogenous disturbances: the invariant ellipsoid technique ⋮ Randomized methods based on new Monte Carlo schemes for control and optimization ⋮ \(D\)-decomposition technique state-of-the-art ⋮ Petersen's Lemma on matrix uncertainty and its generalizations

Cites Work

• Numerical methods of Lyapunov function construction and their application to the absolute stability problem
• Convexity of quadratic transformations and its use in control and optimization
• The method of matrix inequalities in the theory of stability of non- linear controlled systems. III: Absolute stability of systems with hysteresis non-linearities
• The method of matrix inequalities in the stability theory of nonlinear control systems. II: Absolute stability in a class of nonlinearities with a condition on the derivatives
• Stability regions in the parameter space: \(D\)-decomposition revisited
• Lectures on Modern Convex Optimization
• On Tractable Approximations of Uncertain Linear Matrix Inequalities Affected by Interval Uncertainty
• Robust Solutions to Uncertain Semidefinite Programs
• Linear Matrix Inequalities in System and Control Theory
• Numerical Linear Algebra
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The \(D\)-decomposition technique for linear matrix inequalities