Controllability of a simplified time-discrete stabilized Kuramoto-Sivashinsky system

DOI10.3934/eect.2022038zbMath1526.93010arXiv2103.12238OpenAlexW3138693410MaRDI QIDQ6162486

Víctor Hernández-Santamaría

Publication date: 15 June 2023

Published in: Evolution Equations and Control Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.12238

zbMATH Keywords

Carleman estimates\(\varphi(\Delta t)\)-null controllabilityrelaxed observability inequalitiesstabilized Kuramoto-Sivashinskytime discrete parabolic equations

Mathematics Subject Classification ID

Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Discrete-time control/observation systems (93C55) Observability (93B07) Initial-boundary value problems for higher-order parabolic systems (35K52)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Local controllability of the stabilized Kuramoto-Sivashinsky system by a single control acting on the heat equation
• On the cost of null controllability of a fourth-order parabolic equation
• Partial null controllability of parabolic linear systems
• Carleman estimates for semi-discrete parabolic operators and application to the controllability of semi-linear semi-discrete parabolic equations
• Uniform controllability properties for space/time-discretized parabolic equations
• On the observability of time-discrete conservative linear systems
• Time discrete wave equations: boundary observability and control
• Carleman estimate and null controllability of a fourth order parabolic equation in dimension \(N\geq 2\)
• Numerical null controllability of semi-linear 1-D heat equations: fixed point, least squares and Newton methods
• Cylindrical solitary pulses in a two-dimensional stabilized Kuramoto-Sivashinsky system
• Observability estimate and null controllability for one-dimensional fourth order parabolic equation
• Controllability results for stochastic coupled systems of fourth- and second-order parabolic equations
• Carleman estimates and controllability for a semi-discrete fourth-order parabolic equation
• Boundary null-controllability of semi-discrete coupled parabolic systems in some multi-dimensional geometries
• Carleman estimates and controllability results for fully discrete approximations of 1D parabolic equations
• Boundary null-controllability of 1-D coupled parabolic systems with Kirchhoff-type conditions
• Controllability results for cascade systems of \(m\) coupled parabolic PDEs by one control force
• On the observability of abstract time-discrete linear parabolic equations
• Insensitizing controls for a semilinear parabolic equation: a numerical approach
• Boundary controllability of a cascade system coupling fourth- and second-order parabolic equations
• Transmutation techniques and observability for time-discrete approximation schemes of conservative systems
• Uniform controllability of semidiscrete approximations of parabolic control systems
• Discrete Carleman Estimates for Elliptic Operators in Arbitrary Dimension and Applications
• Null controllability of the heat equation with boundary Fourier conditions: the linear case
• On the penalised HUM approach and its applications to the numerical approximation of null-controls for parabolic problems
• Approximation of null controls for semilinear heat equations using a least-squares approach
• Stability estimate for the semi-discrete linearized Benjamin-Bona-Mahony equation
• Control and numerical approximation of fractional diffusion equations
• Carleman estimates for time-discrete parabolic equations and applications to controllability
• Null Controllability of the Stabilized Kuramoto--Sivashinsky System with One Distributed Control
• Propagation, Observation, and Control of Waves Approximated by Finite Difference Methods
• Exact and Approximate Controllability for Distributed Parameter Systems
• Null Controllability of Some Systems of Two Parabolic Equations with One Control Force
• Controllability of Some Coupled Stochastic Parabolic Systems with Fractional Order Spatial Differential Operators by One Control in the Drift
• Controllability of the time discrete heat equation
• A mixed formulation for the direct approximation of \(L^2\)-weighted controls for the linear heat equation

This page was built for publication: Controllability of a simplified time-discrete stabilized Kuramoto-Sivashinsky system