In the paper, we consider a linear nonautonomous Goursat-Darboux system which is a continuous version of discrete Fornasini-Marchesini system. We give some general algorithm for construction a piecewise constant control related to some density result for attainable sets connected with integrable controls and piecewise constant ones. Copyright c ©2005 IFAC

Related DatabasesWeb of Science You must be logged in with an active subscription to view this.Article DataHistorySubmitted: 14 September 2020Accepted: 03 June 2021Published online: 09 2021Keywordskernel, path signature, Goursat PDE, sequential data, geometric rough path, integrationAMS Subject Headings60L10, 60L20Publication DataISSN (online): 2577-0187Publisher: Society for Industrial and App...

In this work, we consider the problem of boundary stabilization for a quasilinear 2 × 2 system of first-order hyperbolic PDEs. We design a new full-state feedback control law, with actuation on only one end of the domain, which achieves H2 exponential stability of the closedloop system. Our proof uses a backstepping transformation to find new variables for which a strict Lyapunov function can b...