Skip to content
DraconiticResearch
Search Sources API
203,234 studies31 sourcesUpdated 58 min ago
Peer-reviewedCC BY 4.0IEEE Control Systems Letters

Exponential Decay for a Boundary-Controlled Nonlinear Parabolic Reactor Model

  • Yevgeniia Yevgenieva
  • Alexander Zuyev
  • Christophe Prieur
  • Peter Benner
Open at sourcePDFDOICite

Abstract

We study an axial dispersion tubular reactor model governed by a nonlinear parabolic equation with Robintype boundary conditions and boundary feedback control. We derive sufficient conditions for the exponential stability of the steady-state solution of the closed-loop system and provide an explicit estimate of the decay rate. In addition, numerical simulations are presented to illustrate the sharpness of the obtained decay rate for different choices of the feedback gain parameter.

Related

  1. A doubly nonlinear parabolic problem with variable exponents, homogeneous Neumann boundary conditions and generalized logistic source
    Bogdan Maxim
    arXivPreprintCC BY-NC-ND 4.0Full textAnalysis & PDEsarXiv
  2. A weighted semigroup approach to exponential stability in linear parabolic equations
    Haesung Lee
    arXivPreprintarXiv licenceFull textAnalysis & PDEsProbabilityarXiv
  3. Geometric analysis of a mixed elliptic-parabolic conformally invariant boundary value problem
    Jürgen Jost, Lei Liu, Miaomiao Zhu
    ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZEPeer-reviewedLicence not statedFull text6 citedGeneral mathematicsOpenAlex
  4. Accelerating Nonlinear MPC by Behavior Cloning with Separated Timescales: Application to Nuclear Reactor Load-Following
    Perceval Beja-Battais, Alain Grossetête, Nicolas Vayatis
    HALPreprintCC BY-NC-ND 4.0Full textOptimisation & controlHALarXiv
  5. Null-controllability for some linear parabolic systems with controls acting on different parts of the domain and its boundary
    Guillaume Olive
    arXivPreprintarXiv licenceFull textAnalysis & PDEsOptimisation & controlarXiv

Cite

BibTeXRIS
BibTeX
@article{yevgenieva2026exponential,
  title = {{Exponential Decay for a Boundary-Controlled Nonlinear Parabolic Reactor Model}},
  author = {Yevgeniia Yevgenieva and Alexander Zuyev and Christophe Prieur and Peter Benner},
  journal = {IEEE Control Systems Letters},
  year = {2026},
  month = sep,
  doi = {10.1109/lcsys.2026.3712569},
  url = {https://hal.science/hal-05744328v1},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Exponential Decay for a Boundary-Controlled Nonlinear Parabolic Reactor Model
AU  - Yevgeniia Yevgenieva
AU  - Alexander Zuyev
AU  - Christophe Prieur
AU  - Peter Benner
PY  - 2026
DA  - 2026/09/09
JO  - IEEE Control Systems Letters
DO  - 10.1109/lcsys.2026.3712569
UR  - https://hal.science/hal-05744328v1
AB  - We study an axial dispersion tubular reactor model governed by a nonlinear parabolic equation with Robintype boundary conditions and boundary feedback control. We derive sufficient conditions for the exponential stability of the steady-state solution of the closed-loop system and provide an explicit estimate of the decay rate. In addition, numerical simulations are presented to illustrate the sharpness of the obtained decay rate for different choices of the feedback gain parameter.
SN  - 2475-1456
ER  -