Stabilization of Unidirectional First-Order PDE-ODE Coupled Systems with Boundary and Distributed Input Delays

Name: Stabilization of Unidirectional First-Order PDE-ODE Coupled Systems with Boundary and Distributed Input Delays
Uploaded: 2026-10-11T17:40:11.665480+00:00
Duration: 378 s
Description: The method addresses systems with both boundary and distributed input delays in coupled PDE-ODE models, overcoming limitations of existing methods that require delay ordering. The authors propose a unified backstepping transformation using Volterra and Fredholm integral operators to design controllers that stabilize the delayed system, achieving exponential stability in the L-infinity norm.

The method addresses systems with both boundary and distributed input delays in coupled PDE-ODE models, overcoming limitations of existing methods that require delay ordering. The authors propose a unified backstepping transformation using Volterra and Fredholm integral operators to design controllers that stabilize the delayed system, achieving exponential stability in the L-infinity norm.

Open the full episode