Ellipsoidal bounds for uncertain linear equations and dynamical systems
From MaRDI portal
Publication:1879588
DOI10.1016/j.automatica.2004.01.001zbMath1050.93019OpenAlexW2061173295MaRDI QIDQ1879588
Laurent M. El Ghaoui, Giuseppe Carlo Calafiore
Publication date: 23 September 2004
Published in: Automatica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.automatica.2004.01.001
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (20)
Finding Minimum Volume Circumscribing Ellipsoids Using Generalized Copositive Programming ⋮ Semidefinite programming for uncertain linear equations in static analysis of structures ⋮ Robust pole assignment via reflection coefficients of polynomials ⋮ Sequential semidefinite program for maximum robustness design of structures under load uncertainty ⋮ Set-membership filtering with incomplete observations ⋮ SSUE: Simultaneous state and uncertainty estimation for dynamical systems ⋮ Robust Kalman and Bayesian Set-Valued Filtering and Model Validation for Linear Stochastic Systems ⋮ Zonotopic set-membership estimation for time-varying systems subject to dynamical biases and quantization effects ⋮ Semidefinite programming for dynamic steady-state analysis of structures under uncertain harmonic loads ⋮ Confidence structural robust design and optimization under stiffness and load uncertainties ⋮ Confidence ellipsoids for static response of trusses with load and structural uncertainties ⋮ On equivalence of major relaxation methods for minimum ellipsoid covering intersection of ellipsoids ⋮ Integrated fault detection system design for linear discrete time‐varying systems with bounded power disturbances ⋮ Impulse-dependent settling-time for finite time stabilization of uncertain impulsive static neural networks with leakage delay and distributed delays ⋮ Robust data envelopment analysis via ellipsoidal uncertainty sets with application to the Italian banking industry ⋮ Centered solutions for uncertain linear equations ⋮ General robust-optimization formulation for nonlinear programming ⋮ Multiple-source ellipsoidal localization using acoustic energy measurements ⋮ Minimum ellipsoid bounds for solutions of polynomial systems via sum of squares ⋮ Confidence structural robust optimization by non-linear semidefinite programming-based single-level formulation
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Systems of linear interval equations
- Derived eigenvalues of symmetric matrices, with applications to distance geometry
- On the value of information in system identification-bounded noise case
- Inversion error, condition number, and approximate inverses of uncertain matrices
- Overestimations in bounding solutions of perturbed linear equations
- On equations of ellipsoids approximating attainable sets
- Ellipsoidal parameter or state estimation under model uncertainty
- On maximization of quadratic form over intersection of ellipsoids with common center
- Convexity of quadratic transformations and its use in control and optimization
- Global Optimization with Polynomials and the Problem of Moments
- Lectures on Modern Convex Optimization
- On Tractable Approximations of Uncertain Linear Matrix Inequalities Affected by Interval Uncertainty
- .879-approximation algorithms for MAX CUT and MAX 2SAT
- Robustness in the presence of mixed parametric uncertainty and unmodeled dynamics
- Matrix Analysis
- Bounding the Solution of Interval Linear Equations
- Robust Solutions to Uncertain Semidefinite Programs
- Linear Matrix Inequalities in System and Control Theory
- Determinant Maximization with Linear Matrix Inequality Constraints
- Set-valued observers and optimal disturbance rejection
- Robust filtering for discrete-time systems with bounded noise and parametric uncertainty
- Semidefinite Programming
- State bounding with ellipsoidal set description of the uncertainty
- LMI approximations for the radius of the intersection of ellipsoids: Survey.
- Multi-input multi-output ellipsoidal state bounding.
This page was built for publication: Ellipsoidal bounds for uncertain linear equations and dynamical systems