A numerical evaluation of solvers for the periodic Riccati differential equation

DOI10.1007/s10543-010-0257-5zbMath1192.65096OpenAlexW2139349731WikidataQ115384197 ScholiaQ115384197MaRDI QIDQ981669

J. Martínez

Publication date: 2 July 2010

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://elib.dlr.de/64017/1/varga_BIT2010final.pdf

zbMATH Keywords

algorithmsconvex optimizationlinear matrix inequalitiesperiodic systemssemidefinite programminglinear matrix inequalitynumerical examplesHamiltonian systemsmultiple shootingorbital stabilizationperiodic control systemsperiodic Riccati differential equationsperiodic eigenvalue reorderingperiodic feedback controllersperiodic real Schur form

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Periodic solutions to ordinary differential equations (34C25) Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (9)

Routh reducibility and controllability of unstable mechanical systems ⋮ A dynamic human motion: coordination analysis ⋮ SDP-based approximation of stabilising solutions for periodic matrix Riccati differential equations ⋮ Stabilization of nonautonomous linear parabolic-like equations: oblique projections versus Riccati feedbacks ⋮ Robust \(H_{\infty}\) control of spacecraft rendezvous on elliptical orbit ⋮ \(\mathcal H_2\) optimal filtering for continuous-time periodic linear stochastic systems with state-dependent noise ⋮ Dynamic virtual holonomic constraints for stabilization of closed orbits in underactuated mechanical systems ⋮ Stabilizing control for a pulsatile cardiovascular mathematical model ⋮ Computational issues for linear periodic systems: paradigms, algorithms, open problems

Uses Software

• SeDuMi
• YALMIP
• psSchur
• CTDSX
• RICPAC
• Periodic Systems Toolbox

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