Explicit control law of a coupled reaction-diffusion process

DOI10.1016/j.jfranklin.2017.01.013zbMath1400.93114OpenAlexW2580750139MaRDI QIDQ1796576

Cuihua He, Zhiyuan Zhen, Chengkang Xie

Publication date: 17 October 2018

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfranklin.2017.01.013

zbMATH Keywords

stabilizationcontrol lawreaction-diffusion processbackstepping transformation with kernel function

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Reaction-diffusion equations (35K57) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Transformations (93B17) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (5)

Local stabilization of coupled nonlinear parabolic equations by boundary control ⋮ Control law in analytic expression of a system coupled by reaction-diffusion equation ⋮ Local exponential stabilization of a coupled ODE-Fisher's PDE system ⋮ Stabilization of an ODE-PDE cascaded system by boundary control ⋮ Indirect control to stabilise reaction–diffusion equation

Cites Work

• Unnamed Item
• Stabilization of coupled linear plant and reaction-diffusion process
• State and output feedback boundary control for a coupled PDE-ODE system
• Control of PDE-ODE cascades with Neumann interconnections
• Synchronization of reaction-diffusion neural networks with time-varying delays via stochastic sampled-data controller
• Stabilization for a coupled PDE-ODE control system
• Compensating actuator and sensor dynamics governed by diffusion PDEs
• Stochastic sampled-data \(H_\infty\) synchronization of coupled neutral-type delay partial differential systems
• Mathematical Control Theory of Coupled PDEs
• Boundary Control of PDEs
• Compensating the Distributed Effect of Diffusion and Counter-Convection in Multi-Input and Multi-Output LTI Systems

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