Reduced-Order Optimal Control Based on Approximate Inertial Manifolds for Nonlinear Dynamical Systems

DOI10.1137/060666421zbMath1178.93033OpenAlexW2137748430MaRDI QIDQ3654393

Kazufumi Ito, Karl Kunisch

Publication date: 6 January 2010

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://resolver.obvsg.at/urn:nbn:at:at-ubg:3-4216

zbMATH Keywords

approximate inertial manifoldreduced-order methodsinfinite dimensional systemdecomposition of state spacenonlinear Galerkin

Mathematics Subject Classification ID

Optimal feedback synthesis (49N35) Feedback control (93B52) System structure simplification (93B11)

Related Items (7)

POD/DEIM reduced-order strategies for efficient four dimensional variational data assimilation ⋮ Certified Reduced Basis Methods for Parametrized Distributed Elliptic Optimal Control Problems with Control Constraints ⋮ Certified reduced basis methods for parametrized elliptic optimal control problems with distributed controls ⋮ Certified reduced-order methods for optimal treatment planning ⋮ A difference-of-convex functions approach for sparse PDE optimal control problems with nonconvex costs ⋮ Study on dynamic behaviors of rotor model with coupling faults and applications of TPOD method ⋮ Finite-horizon parameterizing manifolds, and applications to suboptimal control of nonlinear parabolic PDEs

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