Stability analysis of coupled linear ODE-hyperbolic PDE systems with two time scales

DOI10.1016/j.automatica.2017.07.052zbMath1375.93116OpenAlexW2740763313MaRDI QIDQ1679880

Ying Tang, Guilherme Mazanti

Publication date: 22 November 2017

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2017.07.052

zbMATH Keywords

stabilitysingular perturbationhyperbolic systemscoupled ODE/PDE

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Time-scale analysis and singular perturbations in control/observation systems (93C70) Control/observation systems governed by ordinary differential equations (93C15) First-order hyperbolic systems (35L40) Stability of control systems (93D99)

Related Items (5)

Rapid exponential stabilization by boundary state feedback for a class of coupled nonlinear ODE and \(1-d\) heat diffusion equation ⋮ Observer and boundary output feedback control for coupled ODE-transport PDE ⋮ Sampled-data observers for delay systems and hyperbolic PDE-ODE loops ⋮ Finite-time sliding mode control for singularly perturbed PDE systems ⋮ Singular Perturbation Approach for Linear Coupled ODE-PDE Systems

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