Exact finite dimensional feedback control via inertial manifold theory with application to the Chafee-Infante equation

DOI10.1023/A:1026153311546zbMath1081.93010OpenAlexW259989275MaRDI QIDQ1418864

Ricardo M. S. Rosa

Publication date: 14 January 2004

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1026153311546

zbMATH Keywords

feedback controlinertial manifold

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Feedback control (93B52) Nonlinear parabolic equations (35K55) Nonlinear differential equations in abstract spaces (34G20) Inertial manifolds (35B42) Inertial manifolds and other invariant attracting sets of infinite-dimensional dissipative dynamical systems (37L25)

Related Items (8)

Inertial manifolds for parabolic differential equations: the fully nonautonomous case ⋮ Finite determining parameters feedback control for distributed nonlinear dissipative systems -- a computational study ⋮ Regularity of the inertial manifolds for evolution equations in admissible spaces and finite-dimensional feedback controllers ⋮ Reconstructing the initial state of the linear system and estimating its error in discretization ⋮ Feedback control of nonlinear dissipative systems by finite determining parameters -- a reaction-diffusion paradigm ⋮ Large time dynamics of a nonlinear spring-mass-damper model ⋮ Finite-horizon parameterizing manifolds, and applications to suboptimal control of nonlinear parabolic PDEs ⋮ On the existence and regularity of admissibly inertial manifolds with sectorial operators

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