SDP-based approximation of stabilising solutions for periodic matrix Riccati differential equations

DOI10.1080/00207179.2015.1131850zbMath1353.93086OpenAlexW2284553986MaRDI QIDQ2954023

Sergei V. Gusev, Leonid B. Freidovich, Shiriaev, Anton S.

Publication date: 11 January 2017

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207179.2015.1131850

zbMATH Keywords

approximationSDPtrigonometric polynomialperiodic matrix Riccati differential equationsstabilising solution

Mathematics Subject Classification ID

Semidefinite programming (90C22) Stabilization of systems by feedback (93D15) Periodic solutions to ordinary differential equations (34C25) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (1)

Robust orbital stabilization: A Floquet theory–based approach

Uses Software

• Matlab
• LMI toolbox

Cites Work

• Solving semidefinite-quadratic-linear programs using SDPT3
• Fourier expansion based recursive algorithms for periodic Riccati and Lyapunov matrix differential equations
• A numerical evaluation of solvers for the periodic Riccati differential equation
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• A note on the maximal solution of the periodic Riccati equation
• On solving periodic Riccati equations
• On the Phase Portrait of the Matrix Riccati Equation Arising from the Periodic Control Problem
• A Schur method for solving algebraic Riccati equations
• Periodic equilibria for matrix riccati equations^‡
• Comparison and uniqueness theorems for periodic Riccati differential equations
• Linear Matrix Inequalities in System and Control Theory
• Transverse Linearization for Controlled Mechanical Systems With Several Passive Degrees of Freedom
• Constructive tool for orbital stabilization of underactuated nonlinear systems: virtual constraints approach
• A New Iterative Algorithm to Solve Periodic Riccati Differential Equations With Sign Indefinite Quadratic Terms

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