Stabilizability of Time-Periodic Evolution Equations by Finite Dimensional Controls

DOI10.1137/19M1273451zbMath1453.93184OpenAlexW3039792605MaRDI QIDQ5130022

Mehdi Badra, Debanjana Mitra, Mythily Ramaswamy, Jean-Pierre Raymond

Publication date: 3 November 2020

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/19m1273451

zbMATH Keywords

stabilizationperiodic parabolic systemsfinite dimensional controls

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Stabilization of systems by feedback (93D15) Periodic solutions to PDEs (35B10) Stabilization of solutions to ordinary differential equations (34H15)

Related Items (3)

Characterizations of Complete Stabilizability ⋮ Stabilization of nonautonomous linear parabolic-like equations: oblique projections versus Riccati feedbacks ⋮ Local feedback stabilization of time-periodic evolution equations by finite dimensional controls

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Boundary feedback stabilization of the two dimensional Navier-Stokes equations with finite dimensional controllers
• Semigroups of linear operators and applications to partial differential equations
• Representation and control of infinite dimensional systems. Vol. 2
• Equivalent conditions on periodic feedback stabilization for linear periodic evolution equations
• Characterization by observability inequalities of controllability and stabilization properties
• Stabilizability of infinite dimensional systems by finite dimensional control
• Stabilizability of linear time-varying systems
• Boundary Stabilization of the Navier--Stokes Equations in the Case of Mixed Boundary Conditions
• Stabilization of Parabolic Nonlinear Systems with Finite Dimensional Feedback or Dynamical Controllers: Application to the Navier–Stokes System
• Feedback Boundary Stabilization of the Two-Dimensional Navier--Stokes Equations
• Bounded solutions of linear periodic abstract parabolic equations
• Stabilizability of Time-Periodic Parabolic Equations
• Reduced modelling of blood flow in the cerebral circulation: Coupling 1‐D, 0‐D and cerebral auto‐regulation models
• On the Fattorini criterion for approximate controllability and stabilizability of parabolic systems

This page was built for publication: Stabilizability of Time-Periodic Evolution Equations by Finite Dimensional Controls