Optimizing the Kreiss Constant
From MaRDI portal
Publication:5136743
DOI10.1137/19M1296215zbMath1453.93073arXiv1910.12572OpenAlexW3104150364MaRDI QIDQ5136743
Dominikus Noll, Pierre Apkarian
Publication date: 27 November 2020
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.12572
nonsmooth optimizationNP-hard problemstructured controller\(\mu\)-analysismixed uncertaintynonnormal behaviorunwarranted large transients
Stabilization of systems by feedback (93D15) Nonlinear systems in control theory (93C10) (H^infty)-control (93B36) Computational methods for problems pertaining to systems and control theory (93-08)
Related Items
A probabilistic point of view on peak effects in linear difference equations, Linear stability analysis of wake vortices by a spectral method using mapped Legendre functions
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonsmooth bundle trust-region algorithm with applications to robust stability
- Branch and bound algorithm with applications to robust stability
- On a conjecture by LeVeque and Trefethen related to the Kreiss matrix theorem
- A fast algorithm for the computation of an upper bound on the \(\mu\)-norm
- On the resolvent condition in the Kreiss matrix theorem
- Second-order nonsmooth optimization for \(H_{\infty}\) synthesis
- Nonsmooth optimization for multidisk \(H_\infty\) synthesis
- Parametric Robust Structured Control Design
- Hydrodynamic Stability Without Eigenvalues
- Energy growth in viscous channel flows
- On a Certain Linear Fractional Transformation
- Über Die Stabilitätsdefinition Für Differenzengleichungen Die Partielle Differentialgleichungen Approximieren
- One-Parameter Semigroups for Linear Evolution Equations
- Computational complexity of μ calculation
- A dual formulation of mixed μ and on the losslessness of (D, G) scaling
- Robustness analysis of flexible structures: practical algorithms
- PENNON: A code for convex nonlinear and semidefinite programming
- An Interior Point Constrained Trust Region Method for a Special Class of Nonlinear Semidefinite Programming Problems
- Properties of the mixed μ problem and its bounds
- Nonsmooth H∞Synthesis
- On the Minimization of Maximum Transient Energy Growth
- Worst‐case stability and performance with mixed parametric and dynamic uncertainties
- Linear iterative method for closed-loop control of quasiperiodic flows
- Cutting plane oracles for non-smooth trust-regions