Paper Info
Title
Reduced-Order Optimal Control Based on Approximate Inertial Manifolds for Nonlinear Dynamical Systems
Abstract
A reduced-order method for optimal control problems in infinite dimensions based on approximate inertial manifolds is developed. Convergence of the cost, optimal controls, and optimal states of the finite dimensional, reduced-order, optimal control problems to the original optimal control problem is analyzed. Special attention is given to the particular case when the dynamics are described by the Navier-Stokes equations in dimension two.
Year
DOI
Venue
2008
10.1137/060666421
SIAM J. Numerical Analysis
Keywords
Field
DocType
reduced-order optimal control,particular case,infinite dimensional system,optimal control,original optimal control problem,reduced-order methods,navier-stokes equation,reduced-order method,infinite dimension,optimal control problem,approximate inertial manifolds,optimal state,approximate inertial manifold,nonlinear galerkin,finite dimensional,nonlinear dynamical systems,decom- position of state space,state space
Inertial frame of reference,Convergence (routing),Mathematical optimization,Optimal control,Linear-quadratic-Gaussian control,Mathematical analysis,Numerical analysis,Stokes flow,Mathematics,Dynamical system,Manifold
Journal
Volume
Issue
ISSN
46
6
0036-1429
Citations 
PageRank 
References 
2
0.39
3
Authors
2
Name
Order
Citations
PageRank
Kazufumi Ito1833103.58
Karl Kunisch21370145.58