Abstract
A Hyperbolic PDE-ODE System with Delay-Robust Stabilization
Highlights
In this paper we develop a linear feedback control law that achieves delay-robust stabilization of a system of two hetero directional first-order hyperbolic Partial Differential Equations (PDEs) coupled through the boundary to an Ordinary Differential Equation (ODE)
The main contribution of this paper is to provide a new design for a state-feedback law for a PDE-ODE system that ensures the delay-robust stabilization
In this paper, a delay-robust stabilizing feedback control law was developed for a coupled hyperbolic PDE-ODE system
Summary
In this paper we develop a linear feedback control law that achieves delay-robust stabilization of a system of two hetero directional first-order hyperbolic Partial Differential Equations (PDEs) coupled through the boundary to an Ordinary Differential Equation (ODE). We denote by L ([0,1], R), or L ([0,1]) if no confusion arises, the space of real-valued functions defined on [0,1] whose absolute value is integrable. We denote L ([0,1], R) the space of real-valued square-integrable functions defined on [0,1] with the standard L norm, i.e., for any f ∈ L ([0,1]), R)
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