Title :
Boundary Stabilization for a Class of Hyperbolic PDEs with a Free End
Author :
Xiaoguang Li ; Jinkun Liu
Author_Institution :
Sch. of Autom. Sci. & Electr. Eng., Beihang Univ., Beijing, China
Abstract :
In this paper, the problem of boundary feedback stabilization for a class of hyperbolic partial differential equations (PDEs) is considered by using the backstepping approach. We show that, under certain mathematical conditions the closed-loop system could become stable exponentially at a given decay rate. The mappings between the original and the transformed systems are constructed, in which the boundary conditions of the kernel functions are discussed.
Keywords :
hyperbolic equations; partial differential equations; backstepping approach; boundary feedback stabilization; closed-loop system; hyperbolic PDE; hyperbolic partial differential equations; kernel functions; Backstepping; Closed loop systems; Educational institutions; Equations; Kernel; Stability; Volterra transformation; backstepping approach for PDEs; boundary control; exponential stability; hyperbolic partial differential equations (PDEs);
Conference_Titel :
Instrumentation, Measurement, Computer, Communication and Control (IMCCC), 2012 Second International Conference on
Conference_Location :
Harbin
Print_ISBN :
978-1-4673-5034-1
DOI :
10.1109/IMCCC.2012.57
