47 citations · 132 across the 12 of their papers we have counts for
15 papers
Multi-fidelity robust controller design with gradient sampling
Steffen W. R. Werner, Michael L. Overton, Benjamin Peherstorfer
Robust controllers that stabilize dynamical systems even under disturbances and noise are often formulated as solutions of nonsmooth, nonconvex optimization problems. While methods…
On Properties of Univariate Max Functions at Local Maximizers
Tim Mitchell, Michael L. Overton
More than three decades ago, Boyd and Balakrishnan established a regularity result for the two-norm of a transfer function at maximizers. Their result extends easily to the stateme…
Local Minimizers of the Crouzeix Ratio: A Nonsmooth Optimization Case Study
Michael L. Overton
Given a square matrix and a polynomial , the Crouzeix ratio is the norm of the polynomial on the field of values of divided by the 2-norm of the matrix . Crouzeix'…
Behavior of Limited Memory BFGS when Applied to Nonsmooth Functions and their Nesterov Smoothings
Azam Asl, Michael L. Overton
The motivation to study the behavior of limited-memory BFGS (L-BFGS) on nonsmooth optimization problems is based on two empirical observations: the widespread success of L-BFGS in…
H-infinity Strong Stabilization via HIFOO, a Package for Fixed-Order Controller Design
Suat Gumussoy, Marc Millstone, Michael L. Overton
We report on our experience with strong stabilization using HIFOO, a toolbox for H-infinity fixed-order controller design. We applied HIFOO to 21 fixed-order stable H-infinity cont…
Fixed-Order H-infinity Controller Design via HIFOO, a Specialized Nonsmooth Optimization Package
Suat Gumussoy, Michael L. Overton
We report on our experience with fixed-order H-infinity controller design using the HIFOO toolbox. We applied HIFOO to various benchmark fixed (or reduced) order H-infinity control…