Work

Exponential Decay for a Boundary-Controlled Nonlinear Parabolic Reactor Model

Year: 2026

Type: article

Abstract: We study an axial dispersion tubular reactor model governed by a nonlinear parabolic equation with Robin-type 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.

Source: IEEE Control Systems Letters

DOI: 10.1109/lcsys.2026.3712569

Authors: Yevgeniia Yevgenieva, Alexander Zuyev, Christophe Prieur, Peter Benner

Institutions: Max Planck Institute for Dynamics of Complex Technical Systems, Université Grenoble Alpes

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7140294645

FWCI:

Cites: 19

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Related to: 10