Statistical learning methods in linear algebra and control problems: The example of finite-time control of uncertain linear systems

DOI10.1016/S0024-3795(01)00599-7zbMath1007.93064MaRDI QIDQ1611894

Marco Ariola, Chaouki T. Abdallah, Francesco Amato, Vladimir I. Koltchinskii, Peter Dorato

Publication date: 28 August 2002

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

linear matrix inequalitiesrobust stabilizationempirical risk minimization

Mathematics Subject Classification ID

Linear inequalities of matrices (15A39) Adaptive or robust stabilization (93D21)

Related Items (3)

Finite-time stabilization of linear time-varying systems by piecewise constant feedback ⋮ Practical and finite-time fuzzy adaptive control for nonlinear descriptor systems with uncertainties of unknown bound ⋮ Finite-time fuzzy stabilisation and control for nonlinear descriptor systems with non-zero initial state

Uses Software

• LMI toolbox

Cites Work

• Unnamed Item
• Unnamed Item
• Some open problems in matrix theory arising in linear systems and control
• Central limit theorems for empirical measures
• The uniform distribution: A rigorous justification for its use in robustness analysis
• Probabilistic robustness analysis: Explicit bounds for the minimum number of samples
• Global asymptotic linearisation of the pole placement map: A closed-form solution for the constant output feedback problem
• Weak convergence and empirical processes. With applications to statistics
• Randomized algorithms for probabilistic robustness with real and complex structured uncertainty
• Improved sample complexity estimates for statistical learning control of uncertain systems
• Stabilization of uncertain systems via linear control
• On a Convex Parameter Space Method for Linear Control Design of Uncertain Systems
• Linear Matrix Inequalities in System and Control Theory
• NP-Hardness of Some Linear Control Design Problems
• Output feedback pole placement with dynamic compensators
• On avoiding vertexization of robustness problems: the approximate feasibility concept
• A survey of computational complexity results in systems and control
• Probabilistic solutions to some NP-hard matrix problems
• Finite-time control of linear systems subject to parametric uncertainties and disturbances

This page was built for publication: Statistical learning methods in linear algebra and control problems: The example of finite-time control of uncertain linear systems