Finite-time boundary stabilization of general linear hyperbolic balance laws via Fredholm backstepping transformation. (October 2017)

• Record Type: Journal Article
• Authors: Coron, Jean-Michel; Hu, Long; Olive, Guillaume
• Is Part Of: Automatica. Volume 84(2017)
• Page Start: 95
• Page End: 100
• Publication Date: 2017-10
• Subjects: Boundary stabilization -- Coupled hyperbolic systems -- Optimal finite time -- Fredholm transformation; Automatic control -- Periodicals; Automation -- Periodicals; 629.805
• DOI: 10.1016/j.automatica.2017.05.013
• Languages: English
• ISSNs: 0005-1098

Abstract

Abstract: This paper is devoted to a simple and new proof on the optimal finite control time for general linear coupled hyperbolic system by using boundary feedback on one side. The feedback control law is designed by first using a Volterra transformation of the second kind and then using an invertible Fredholm transformation. Both existence and invertibility of the transformations are easily obtained.