Finite-time bounded control for coupled parabolic PDE-ODE systems subject to boundary disturbances
type: Item
instance of: scholarly article
title: Finite-time bounded control for coupled parabolic PDE-ODE systems subject to boundary disturbances
zbMATH Open document ID: 1459.93072
DOI: 10.1155/2020/8882382
author: Manna Li
author: Weijie Mao
published in: Mathematical Problems in Engineering
publication date: 2021-01-04T00:00:00Z
review text: Summary: In this paper, the finite-time bounded control problem for coupled parabolic PDE-ODE systems subject to time-varying boundary disturbances and to time-invariant boundary disturbances is considered. First, the concept of finite-time boundedness is extended to coupled parabolic PDE-ODE systems. A Neumann boundary feedback controller is then designed in terms of the state variables. By applying the Lyapunov-like functional method, sufficient conditions which ensure the finite-time boundedness of closed-loop systems in the presence of time-varying boundary disturbances and time-invariant boundary disturbances are provided, respectively. Finally, the issues regarding the finite-time boundedness of coupled parabolic PDE-ODE systems are converted into the feasibility of linear matrix inequalities (LMIs), and the effectiveness of the proposed results is validated with two numerical simulations.
Mathematics Subject Classification ID: 93C20
Mathematics Subject Classification ID: 93B52
Mathematics Subject Classification ID: 93D05
Mathematics Subject Classification ID: 93D15
zbMATH DE Number: 7290112
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2020/8882382
OpenAlex ID: W3111637423
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description: scientific article; zbMATH DE number 7290112