Finite-time stabilization for a first-order hyperbolic system with integral kernel by boundary control

Abstract

This paper consider the finite-time boundary stabilization for a first-order hyperbolic system with integral kernel and lower order term. Via choosing a suitable integral transformation converting the original system into a finite-time stable object system, then, we obtain the control law and certify the finite-time stabilization of the closed-loop system combined with the finite-time stability of object system and invertibility of forward transformation.