Large-scale minimization of the pseudospectral abscissa

Minimax problems in mathematical programming (90C47) Nonconvex programming, global optimization (90C26) Numerical optimization and variational techniques (65K10)

Cites Work

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Survey on the state of systems and control
Several NP-hard problems arising in robust stability analysis
Perturbation theory for rectangular matrix pencils
Real perturbation values and real quadratic forms in a complex vector space
Two numerical methods for optimizing matrix stability
Optimizing matrix stability
Subspace Methods for Computing the Pseudospectral Abscissa and the Stability Radius
Some Regularity Results for the Pseudospectral Abscissa and Pseudospectral Radius of a Matrix
Numerical Optimization of Eigenvalues of Hermitian Matrix Functions
A Subspace Method for Large-Scale Eigenvalue Optimization
Fast Algorithms for the Approximation of the Pseudospectral Abscissa and Pseudospectral Radius of a Matrix
Variational Analysis of Pseudospectra
Controller Design via Nonsmooth Multidirectional Search
New Algorithms for Computing the Real Structured Pseudospectral Abscissa and the Real Stability Radius of Large and Sparse Matrices
A Trust Region Spectral Bundle Method for Nonconvex Eigenvalue Optimization
Über Die Stabilitätsdefinition Für Differenzengleichungen Die Partielle Differentialgleichungen Approximieren
NP-Hardness of Some Linear Control Design Problems
ARPACK Users' Guide
Optimization and Pseudospectra, with Applications to Robust Stability
Robust stability and a criss-cross algorithm for pseudospectra
Subspace Acceleration for the Crawford Number and Related Eigenvalue Optimization Problems
Large-Scale Computation of $\mathcal{L}_\infty$-Norms by a Greedy Subspace Method
Large-Scale and Global Maximization of the Distance to Instability
Extended and Improved Criss-Cross Algorithms for Computing the Spectral Value Set Abscissa and Radius
A BFGS-SQP method for nonsmooth, nonconvex, constrained optimization and its evaluation using relative minimization profiles
Nonsmooth H_∞Synthesis
Low-Rank Dynamics for Computing Extremal Points of Real Pseudospectra
Criss-Cross Type Algorithms for Computing the Real Pseudospectral Abscissa
A Subspace Framework for ${\mathcal H}_\infty$-Norm Minimization
Optimal stability and eigenvalue multiplicity

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