Minimal-norm static feedbacks using dissipative Hamiltonian matrices

DOI10.1016/j.laa.2020.02.008zbMath1467.93250arXiv1907.06883OpenAlexW3005928815WikidataQ114152260 ScholiaQ114152260MaRDI QIDQ2029851

Punit Sharma, Nicolas Gillis

Publication date: 4 June 2021

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.06883

zbMATH Keywords

semidefinite optimizationdissipative Hamiltonian systemstatic-output feedbackstatic-state feedback

Mathematics Subject Classification ID

Semidefinite programming (90C22) Stabilization of systems by feedback (93D15) Linear systems in control theory (93C05) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (1)

A novel relaxation of the static output feedback problem for a class of plants

Uses Software

• SDPT3
• CVX
• PENBMI
• HIFOO
• COMPleib

Cites Work

• Solving semidefinite-quadratic-linear programs using SDPT3
• A characterization of all the static stabilizing controllers for LTI systems
• A randomized approximation algorithm for the minimal-norm static-output-feedback problem
• Static output feedback stabilization: An ILMI approach
• Several NP-hard problems arising in robust stability analysis
• Backward perturbation analysis of certain characteristic subspaces
• All controllers for the general \({\mathcal H}_ \infty\) control problem: LMI existence conditions and state space formulas
• Static output feedback -- a survey
• On computing the distance to stability for matrices using linear dissipative Hamiltonian systems
• On the convergence of the block nonlinear Gauss-Seidel method under convex constraints
• Approximating the nearest stable discrete-time system
• Stability Radii for Linear Hamiltonian Systems with Dissipation Under Structure-Preserving Perturbations
• Graph Implementations for Nonsmooth Convex Programs
• Output feedback stabilization and related problems-solution via decision methods
• NP-Hardness of Some Linear Control Design Problems
• SDPT3 — A Matlab software package for semidefinite programming, Version 1.3
• Trust Region Methods
• Computing the nearest stable matrix pairs
• Finding the Nearest Positive-Real System
• Conditions for Positive and Nonnegative Definiteness in Terms of Pseudoinverses
• Linear quadratic suboptimal control with static output feedback

This page was built for publication: Minimal-norm static feedbacks using dissipative Hamiltonian matrices