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Feedback Stabilization of Linear Diffusion Systems

https://doi.org/10.1137/0321040
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inferredcites →https://doi.org/10.1007/978-1-4612-5561-1openalex-snapshot
Semigroups of Linear Operators and Applications to Partial Differential Equations
inferredcites →https://doi.org/10.1007/978-3-642-53393-8openalex-snapshot
Perturbation theory for linear operators
inferredcites →https://doi.org/10.1016/0041-5553(66)90156-xopenalex-snapshot
Contributions to differential equations
inferredcites →https://doi.org/10.1016/s0076-5392(08)x6074-6openalex-snapshot
Theory of Partial Differential Equations
inferredcites →https://doi.org/10.1080/00207177908922716openalex-snapshot
Feedback control of linear diffusion processes
inferredcites →https://doi.org/10.1090/mmono/029openalex-snapshot
Linear Differential Equations in Banach Space
inferredcites →https://doi.org/10.1109/tac.1967.1098739openalex-snapshot
On pole assignment in multi-input controllable linear systems
inferredcites →https://doi.org/10.1109/tac.1971.1099826openalex-snapshot
An introduction to observers
inferredcites →https://doi.org/10.1109/tac.1975.1101095openalex-snapshot
Feedback stabilization of a class of distributed systems and construction of a state estimator
inferredcites →https://doi.org/10.1109/tac.1982.1102875openalex-snapshot
Finite-dimensional compensator design for parabolic distributed systems with point sensors and boundary input
inferredcites →https://doi.org/10.1137/0312031openalex-snapshot
Controllability for Partial Differential Equations of Parabolic Type
inferredcites →https://doi.org/10.1137/0313002openalex-snapshot
Observability and Related Problems for Partial Differential Equations of Parabolic Type
inferredcites →https://doi.org/10.1137/0316030openalex-snapshot
Modal Control of Certain Flexible Dynamic Systems
inferredcites →https://doi.org/10.1201/b14294-12openalex-snapshot
Partial Differential Equations

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Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.2139/ssrn.4647196openalex-extracted
Design of Low-Dimensional Controllers for High-Dimensional Systems
inferred← citeshttps://doi.org/10.1002/aic.690440711openalex-snapshot
Nonlinear model reduction for control of distributed systems: A computer‐assisted study
inferred← citeshttps://doi.org/10.1002/aic.690470118openalex-snapshot
Control strategies for front stabilization in a tubular reactor model
inferred← citeshttps://doi.org/10.1006/jmaa.1997.5698openalex-snapshot
Finite-Dimensional H∞Control of a Class of Infinite-Dimensional Linear Time-Varying Systems
inferred← citeshttps://doi.org/10.1007/978-0-387-35359-3_15openalex-snapshot
Stabilization of Linear Boundary Control Systems of Parabolic Type: An Algebraic Approach
inferred← citeshttps://doi.org/10.1007/978-3-030-94766-8_3openalex-snapshot
Output Feedback Stabilization of a Reaction-Diffusion PDE in the Presence of Saturations of the Input and Its Time Derivatives
inferred← citeshttps://doi.org/10.1007/978-3-642-04802-9_22openalex-snapshot
A Sample Time Optimization Problem in a Digital Control System
inferred← citeshttps://doi.org/10.1007/978-3-642-60539-0_31openalex-snapshot
Finite-Dimensional Feedback Control of a Scalar Reaction-Diffusion Equation via Inertial Manifold Theory
inferred← citeshttps://doi.org/10.1007/bf01128134openalex-snapshot
Controller design for infinite-dimensional phase-nonminimal systems with parametric uncertainty and unmodeled dynamics
inferred← citeshttps://doi.org/10.1007/bf01211486openalex-snapshot
Approximation algorithm for an infinite-dimensional operator equation XL?BX=C
inferred← citeshttps://doi.org/10.1007/bf01215845openalex-snapshot
Continuous dependence of solutions to the Lyapunov equation relative to an elliptic differential operator of order 2
inferred← citeshttps://doi.org/10.1007/bfb0080620openalex-snapshot
Feedback control for an abstract parabolic equation
inferred← citeshttps://doi.org/10.1007/s00498-013-0108-4openalex-snapshot
Alternative algebraic approach to stabilization for linear parabolic boundary control systems
inferred← citeshttps://doi.org/10.1007/s00498-019-00252-9openalex-snapshot
Sampled-data output regulation of unstable well-posed infinite-dimensional systems with constant reference and disturbance signals
inferred← citeshttps://doi.org/10.1016/0016-0032(83)90057-1openalex-snapshot
Compensators for infinite dimensional linear systems
inferred← citeshttps://doi.org/10.1016/0022-247x(86)90230-1openalex-snapshot
Exponentially stabilizing finite-dimensional controllers for linear distributed parameter systems: Galerkin approximation of infinite dimensional controllers
inferred← citeshttps://doi.org/10.1016/0022-247x(88)90401-5openalex-snapshot
Finite-dimensional controllers for linear distributed parameter systems: Exponential stability using residual mode filters
inferred← citeshttps://doi.org/10.1016/0022-247x(92)90105-mopenalex-snapshot
Finite-dimensional compensators for linear distributed control systems with delays in outputs
inferred← citeshttps://doi.org/10.1016/0893-9659(94)90065-5openalex-snapshot
Feedback stabilization of infinite-dimensional systems with Aγ-bounded output operators
inferred← citeshttps://doi.org/10.1016/b978-0-08-032575-0.50021-7openalex-snapshot
Finite-Dimensional Controllers for Linear Distributed Parameter Systems: Exponential Stability Using Residual Mode Filters
inferred← citeshttps://doi.org/10.1016/j.automatica.2018.02.013openalex-snapshot
Low order stabilizing controllers for a class of distributed parameter systems
inferred← citeshttps://doi.org/10.1016/j.automatica.2021.110115openalex-snapshot
Predictor-based output feedback stabilization of an input delayed parabolic PDE with boundary measurement
inferred← citeshttps://doi.org/10.1016/j.automatica.2022.110704openalex-snapshot
Output feedback stabilization of an ODE-Reaction–Diffusion PDE cascade with a long interconnection delay
inferred← citeshttps://doi.org/10.1016/j.automatica.2023.111188openalex-snapshot
Boundary output feedback stabilization of state delayed reaction–diffusion PDEs
inferred← citeshttps://doi.org/10.1016/j.automatica.2025.112259openalex-snapshot
Boundary output feedback stabilization for 2-D and 3-D parabolic equations
inferred← citeshttps://doi.org/10.1016/j.automatica.2026.113051openalex-snapshot
Finite-dimensional boundary control of underactuated heat–heat cascades
inferred← citeshttps://doi.org/10.1016/j.automatica.2026.113092openalex-snapshot
Spectral reduction-based output feedback stabilization of a wave–ODE cascade
inferred← citeshttps://doi.org/10.1016/j.automatica.2026.113277openalex-snapshot
Output feedback stabilization of ODE-heat and heat-ODE cascades with in-domain pointwise coupling
inferred← citeshttps://doi.org/10.1016/j.ejcon.2026.101487openalex-snapshot
Constrained stabilization of linear parabolic systems with unbounded output operators using a finite-dimensional compensator
inferred← citeshttps://doi.org/10.1016/j.ejcon.2026.101566openalex-snapshot
Input delayed boundary control of a heat-heat cascade
inferred← citeshttps://doi.org/10.1016/j.ifacol.2015.05.010openalex-snapshot
Boundary Control of a Parallel-Flow Heat Exchange Process with Boundary Observation
inferred← citeshttps://doi.org/10.1016/j.ifacol.2015.11.058openalex-snapshot
H∞ Control of a Parallel-Flow Heat Exchange Process**This research is supported by KAKENHI (Grant-in-Aid for Scien-ti_c Research (C), No. 15K04999), Japan Society for the Promotionof Science.
inferred← citeshttps://doi.org/10.1016/j.ifacol.2022.10.376openalex-snapshot
Global Output Feedback Stabilization of Semilinear Reaction-Diffusion PDEs
inferred← citeshttps://doi.org/10.1016/j.ifacol.2023.02.019openalex-snapshot
A note on the wave equation controlled with a dynamic saturating boundary control
inferred← citeshttps://doi.org/10.1016/j.jde.2007.04.004openalex-snapshot
Stability analysis of linear parabolic systems and removement of singularities in substructure: Static feedback
inferred← citeshttps://doi.org/10.1016/j.jmaa.2009.07.050openalex-snapshot
Stabilization of a coupled transport-diffusion system with boundary input
inferred← citeshttps://doi.org/10.1016/j.jmaa.2010.11.049openalex-snapshot
Neumann boundary control of a coupled transport-diffusion system with boundary observation
inferred← citeshttps://doi.org/10.1016/j.jmaa.2011.11.011openalex-snapshot
Stability-enhancing control of a coupled transport–diffusion system with Dirichlet actuation and Dirichlet measurement
inferred← citeshttps://doi.org/10.1016/j.matcom.2010.07.016openalex-snapshot
Numerical simulation in the partial differential equation controllability analysis with physically meaningful constraints
inferred← citeshttps://doi.org/10.1016/j.matcom.2021.07.013openalex-snapshot
Mittag-Leffler stabilization of fractional infinite dimensional systems with finite dimensional boundary controller
inferred← citeshttps://doi.org/10.1016/j.sysconle.2004.09.001openalex-snapshot
Controllability of dynamical systems with constraints
inferred← citeshttps://doi.org/10.1016/j.sysconle.2022.105237openalex-snapshot
Finite-dimensional output stabilization for a class of linear distributed parameter systems — A small-gain approach
inferred← citeshttps://doi.org/10.1016/j.sysconle.2022.105238openalex-snapshot
Output feedback stabilization of reaction–diffusion PDEs with a non-collocated boundary condition
inferred← citeshttps://doi.org/10.1016/j.sysconle.2022.105301openalex-snapshot
Nonlinear boundary output feedback stabilization of reaction–diffusion equations
inferred← citeshttps://doi.org/10.1016/j.sysconle.2025.106049openalex-snapshot
Design of low-dimensional controllers for high-dimensional systems
inferred← citeshttps://doi.org/10.1016/j.sysconle.2026.106363openalex-snapshot
Boundary output feedback stabilization of a cascade of N heat equations
inferred← citeshttps://doi.org/10.1016/j.sysconle.2026.106380openalex-snapshot
Output feedback stabilization of an ODE-Kuramoto–Sivashinsky PDE cascade
inferred← citeshttps://doi.org/10.1016/s0893-9659(01)00160-4openalex-snapshot
Enhancement of stability of linear parabolic systems by static feedback
inferred← citeshttps://doi.org/10.1016/s1474-6670(17)40330-2openalex-snapshot
Finite-Dimensional H ∞ Control of Semilinear Distributed Parameter Systems
inferred← citeshttps://doi.org/10.1016/s1474-6670(17)49252-4openalex-snapshot
Inertial Manifolds and Stabilization of Semilinear Distributed Parameter Systems
inferred← citeshttps://doi.org/10.1016/s1474-6670(17)57907-0openalex-snapshot
Finite-Dimensional H ∞ Controllers for a Class of Infinite-Dimensional Linear Time-Varying Systems
inferred← citeshttps://doi.org/10.1023/a:1009040414659openalex-snapshot
An Algebraic Method of Stabilization for a Class of Boundary Control Systems of Parabolic Type
inferred← citeshttps://doi.org/10.1023/a:1026153311546openalex-snapshot
Exact Finite Dimensional Feedback Control via Inertial Manifold Theory with Application to the Chafee–Infante Equation
inferred← citeshttps://doi.org/10.1063/1.166381openalex-snapshot
Using weighted global control for stabilizing patterned states
inferred← citeshttps://doi.org/10.1063/1.1867979openalex-snapshot
Analytic controllability of time-dependent quantum control systems
inferred← citeshttps://doi.org/10.1080/00036818708839665openalex-snapshot
Feedback stabilization of a marginally stable heat conduction problem
inferred← citeshttps://doi.org/10.1080/00207170500197605openalex-snapshot
Numerical approach to the non-linear diofantic equations with applications to the controllability of infinite dimensional dynamical systems
inferred← citeshttps://doi.org/10.1080/00207178508933421openalex-snapshot
General servomechanism problems for distributed parameter systems
inferred← citeshttps://doi.org/10.1080/00207178808906336openalex-snapshot
Stabilization of a non-linear distributed parameter vibratory system
inferred← citeshttps://doi.org/10.1080/00207179.2022.2091476openalex-snapshot
Boundary output feedback stabilisation of a class of reaction–diffusion PDEs with delayed boundary measurement
inferred← citeshttps://doi.org/10.1080/0020772031000115515openalex-snapshot
Residual mode filters andH∞control for a class of infinite-dimensional discrete-time systems
inferred← citeshttps://doi.org/10.1080/00207720701832655openalex-snapshot
Approximate controllability of then-th order infinite dimensional systems with controls delayed by the control devices
inferred← citeshttps://doi.org/10.1080/00207729008910431openalex-snapshot
Design of servo systems for distributed parameter systems by finite dimensional dynamic compensator
inferred← citeshttps://doi.org/10.1080/00207729808929557openalex-snapshot
Feedback stabilization of infinite-dimensional systems with periodically time-varying input and output operators
inferred← citeshttps://doi.org/10.1080/01630563.2014.884581openalex-snapshot
Algebraic Multiplicities Arising from Static Feedback Control Systems of Parabolic Type
inferred← citeshttps://doi.org/10.1080/02533839.2003.9670780openalex-snapshot
Sub‐optimal finite dimensional observer‐based boundary controller design for distributed parameter systems on a planar domain
inferred← citeshttps://doi.org/10.1093/imamci/dnac008openalex-snapshot
Local output feedback stabilization of reaction–diffusion PDEs with saturated measurement
inferred← citeshttps://doi.org/10.1093/imamci/dnaf015openalex-snapshot
Local output feedback setpoint control of an input-delayed viscous Burgers’ equation
inferred← citeshttps://doi.org/10.1093/imamci/dnaf019openalex-snapshot
Boundary control of transport-reaction-diffusion cascade with simultaneous in-domain and boundary couplings
inferred← citeshttps://doi.org/10.1109/9.148362openalex-snapshot
Feedback stabilization of linear diffusion systems with periodically scanning sensors
inferred← citeshttps://doi.org/10.1109/acc.1995.529208openalex-snapshot
On a problem of adaptive control of diffusion systems
inferred← citeshttps://doi.org/10.1109/acssc.1985.671544openalex-snapshot
Reduced-Order Modal Control of Linear Distributed Parameter Systems
inferred← citeshttps://doi.org/10.1109/cdc56724.2024.10886069openalex-snapshot
Stabilization of a reaction-diffusion equation in H2-norm with application to saturated Neumann measurement
inferred← citeshttps://doi.org/10.1109/lcsys.2024.3518396openalex-snapshot
Finite-Dimensional Observer-Based Boundary Control of 1-D Linear Parabolic-Elliptic Systems
inferred← citeshttps://doi.org/10.1109/lcsys.2026.3712569openalex-snapshot
Exponential Decay for a Boundary-Controlled Nonlinear Parabolic Reactor Model
inferred← citeshttps://doi.org/10.1109/mcsi.2014.14openalex-snapshot
Dirichlet Boundary Stabilization of Unstable Mixed Parameter Systems
inferred← citeshttps://doi.org/10.1109/sice.2007.4421103openalex-snapshot
Stabilization and a class of functionals for linear parabolic systems
inferred← citeshttps://doi.org/10.1109/tac.2021.3130874openalex-snapshot
Finite-Dimensional Observer-Based PI Regulation Control of a Reaction–Diffusion Equation
inferred← citeshttps://doi.org/10.1109/tac.2022.3144609openalex-snapshot
Local Output Feedback Stabilization of a Reaction–Diffusion Equation With Saturated Actuation
inferred← citeshttps://doi.org/10.1109/tac.2023.3293722openalex-snapshot
Local Output Feedback Stabilization of a Nonlinear Kuramoto–Sivashinsky Equation
inferred← citeshttps://doi.org/10.1109/tac.2024.3378835openalex-snapshot
Event-Triggered Finite-Dimensional Observer-Based Output Feedback Stabilization of Reaction–Diffusion PDEs
inferred← citeshttps://doi.org/10.1137/0322018openalex-snapshot
Finite Dimensional Compensators for Parabolic Distributed Systems with Unbounded Control and Observation
inferred← citeshttps://doi.org/10.1137/s0363012996302901openalex-snapshot
${\cal H_}\infty$ Control of Diffusion Systems by Using a Finite-Dimensional Controller
inferred← citeshttps://doi.org/10.1142/9789811271632_0002openalex-snapshot
Saturated Boundary Stabilization of Partial Differential Equations Using Control-Lyapunov Functions
inferred← citeshttps://doi.org/10.14736/kyb-2016-5-0824openalex-snapshot
On approximation of stability radius for an infinite-dimensional feedback control system
inferred← citeshttps://doi.org/10.1512/iumj.2001.50.2154openalex-snapshot
Numerical criterion for the stabilization of steady states of the Navier-Stokes equations
inferred← citeshttps://doi.org/10.1515/acsc-2017-0020openalex-snapshot
Discrete-time feedback stabilization
inferred← citeshttps://doi.org/10.1515/bpasts-2015-0034openalex-snapshot
Feedback stabilization of one-dimensional parabolic systems related to formations
inferred← citeshttps://doi.org/10.1515/bpasts-2017-0002openalex-snapshot
Finite-dimensional H∞ control of a parallel-flow heat exchange process
inferred← citeshttps://doi.org/10.1541/ieejeiss1987.109.11_777openalex-snapshot
Finite-Dimensional Tracking System for Spectral Systems with Unknown Parameters
inferred← citeshttps://doi.org/10.1619/fesi.52.321openalex-snapshot
On State and Output Stabilization of Linear Parabolic Systems
inferred← citeshttps://doi.org/10.23919/ecc.1999.7099340openalex-snapshot
Finite-dimensional H ∞ controllers for a class of infinite-dimensional discrete-time systems
inferred← citeshttps://doi.org/10.23919/ecc55457.2022.9837995openalex-snapshot
Output feedback stabilization of Reaction-Diffusion PDEs with distributed input delay
inferred← citeshttps://doi.org/10.2478/v10006-008-0018-7openalex-snapshot
Approximate Controllability of Infinite Dimensional Systems of the n-th Order
inferred← citeshttps://doi.org/10.2478/v10065-008-0013-5openalex-snapshot
Controllability of second order infinite dimensional dynamical systems with delays
inferred← citeshttps://doi.org/10.3792/pjaa.84.19openalex-snapshot
Stabilization and decay of functionals for linear parabolic control systems
inferred← citeshttps://doi.org/10.4064/ba60-2-8openalex-snapshot
Equivalence of Two Stabilization Schemes for a Class of Linear Parabolic Boundary Control Systems
inferred← citeshttps://doi.org/10.4236/apm.2013.39a1005openalex-snapshot
On Decay of Solutions and Spectral Property for a Class of Linear Parabolic Feedback Control Systems
inferred← citeshttps://doi.org/10.7494/automat.2012.16.2.145openalex-snapshot
A Strejc model-based, semi-fractional (SSF) transfer function model
inferred← citeshttps://doi.org/10.9746/jcmsi.4.349openalex-snapshot
A Note on the Minimum Number of the Actuators for Stabilization in Linear Parabolic Boundary Control Systems
inferred← citeshttps://doi.org/10.9746/sicetr.45.27openalex-snapshot
On Decay Estimates of Solutions to One-dimensional Linear Parabolic Feedback Control Systems
inferred← citeshttps://doi.org/10.9746/sicetr.46.164openalex-snapshot
On the Minimum Number of the Sensors for Stabilization in Parabolic Boundary Control Systems
inferred← citeshttps://doi.org/10.9746/sicetr.48.185openalex-snapshot
Stabilization of Unstable Mixed Parameter Systems by Using a Finite-dimensional Controller
inferred← citeshttps://doi.org/10.9746/sicetr.49.449openalex-snapshot
A Remark on Stabilization for Linear Parabolic Systems: Static Feedback Scheme
inferred← citeshttps://doi.org/10.9746/sicetr1965.31.38openalex-snapshot
Feedback Stabilization of Semilinear Distributed Parameter Systems with Unbounded Output Operators
inferred← citeshttps://doi.org/10.9746/sicetr1965.38.150openalex-snapshot
Output Stabilization of a Class of Linear Parabolic Distributed Systems
inferred← citeshttps://doi.org/10.9746/sicetr1965.40.915openalex-snapshot
Sampled-Data H^|^infin; Control of Linear Parabolic Systems with Unbounded Output Operators
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