Stabilization of Coupled ODE‐PDE System with Intermediate Point and Spatially Varying Effects Interconnection

DOI10.1002/asjc.1438zbMath1366.93541OpenAlexW2564481800MaRDI QIDQ5280222

Fucheng Liao, Zhengwei Shen, Yuanlong Yuan

Publication date: 20 July 2017

Published in: Asian Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/asjc.1438

zbMATH Keywords

exponential stabilitycoupled ODE-PDE systemspatially varying coefficientbackstepping methodintermediate point

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Stabilization of systems by feedback (93D15) Asymptotic stability in control theory (93D20) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (2)

Adaptive stabilisation via passive identifier for an ODE system cascaded by coupled parabolic equations with serious uncertainties ⋮ Robust Stability of a Nonlinear ODE-PDE System

Cites Work

• Stabilization of coupled PDE-ODE systems with spatially varying coefficient
• State and output feedback boundary control for a coupled PDE-ODE system
• Control of PDE-ODE cascades with Neumann interconnections
• Boundary control of coupled reaction-diffusion processes with constant parameters
• Stabilization for a coupled PDE-ODE control system
• Stabilization of a second order ODE-heat system coupling at intermediate point
• Compensating actuator and sensor dynamics governed by diffusion PDEs
• Stabilization of linear heat equation with a heat source at intermediate point by boundary control
• Boundary Control of PDEs
• Boundary Feedback Stabilization of an Unstable Heat Equation
• Adaptive stabilization of coupled PDE–ODE systems with multiple uncertainties

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