Stabilization via Nonsmooth, Nonconvex Optimization

DOI10.1109/TAC.2006.884944zbMath1366.93490OpenAlexW2128404353MaRDI QIDQ5281972

Michael L. Overton, James V. Burke, Didier Henrion, Adrian S. Lewis

Publication date: 27 July 2017

Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/tac.2006.884944

Mathematics Subject Classification ID

Applications of mathematical programming (90C90) Nonconvex programming, global optimization (90C26) Nonsmooth analysis (49J52) Stabilization of systems by feedback (93D15)

Related Items (24)

Linear system identification using the sequential stabilizing spline algorithm ⋮ Some open problems on simultaneous stabilization of linear systems ⋮ Spectral radius minimization for optimal average consensus and output feedback stabilization ⋮ Gol'dberg's constants ⋮ On computing the distance to stability for matrices using linear dissipative Hamiltonian systems ⋮ Variational analysis of convexly generated spectral max functions ⋮ Eigenvalue optimisation-based centralised and decentralised stabilisation of time-delay systems ⋮ On the local convergence analysis of the gradient sampling method for finite max-functions ⋮ Discussion on: ``Design of low order robust controllers for a VSC HVDC power plant terminal ⋮ Multifidelity Robust Controller Design with Gradient Sampling ⋮ Delay-based stabilisation and strong stabilisation of LTI systems by nonsmooth constrained optimisation ⋮ A nonsmooth optimisation approach for the stabilisation of time-delay systems ⋮ Multivariable robust control for a 500W self-humidified PEMFC system ⋮ Variational analysis of the spectral abscissa at a matrix with a nongeneric multiple eigenvalue ⋮ Optimizing the asymptotic convergence rate of the Diaconis-Holmes-Neal sampler ⋮ Nearest stable system using successive convex approximations ⋮ Smoothing methods for nonsmooth, nonconvex minimization ⋮ On the generation of random stable polynomials ⋮ Design of delay-based output-feedback controllers optimizing a quadratic cost function via the delay Lyapunov matrix ⋮ Semidefinite Approximations of the Polynomial Abscissa ⋮ Time domain constrained H _∞ -synthesis ⋮ Nonsmooth µ-synthesis ⋮ Systematic Formulation of Model Uncertainties and Robust Control in Smart Structures Using H ∞ and μ-Analysis ⋮ On a new generalised LMI condition and randomised algorithm for robust stabilisation via static-output-feedback

This page was built for publication: Stabilization via Nonsmooth, Nonconvex Optimization