The Smoothed Spectral Abscissa for Robust Stability Optimization

DOI10.1137/070704034zbMath1185.93110OpenAlexW2160261378MaRDI QIDQ5189555

Moritz Diehl, Joris Vanbiervliet, Bart Vandereycken, Stefan Vandewalle, Wim Michiels

Publication date: 17 March 2010

Published in: SIAM Journal on Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/070704034

zbMATH Keywords

robust stabilityeigenvalue optimizationLyapunov equationspseudospectra

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Feedback control (93B52) Asymptotic stability in control theory (93D20) Robust stability (93D09) Numerical methods of relaxation type (49M20)

Related Items (7)

Stabilisation of distributed time-delay systems: a smoothed spectral abscissa optimisation approach ⋮ Robust stability optimization for linear delay systems in a probabilistic framework ⋮ A quasi-Newton algorithm for nonconvex, nonsmooth optimization with global convergence guarantees ⋮ An SL/QP Algorithm for Minimizing the Spectral Abscissa of Time Delay Systems ⋮ Using spectral discretisation for the optimalℋ₂design of time-delay systems ⋮ Design of structured controllers for linear time-delay systems ⋮ Stochastic gradient descent and fast relaxation to thermodynamic equilibrium: A stochastic control approach

Uses Software

• SeDuMi
• YALMIP
• HIFOO
• COMPleib
• Eigtool

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