Functional systems arise in the treatment of systems of partial differential equations, delay-differential equations, multidimensional equations, etc. The problem of reducing a linear functional system to a system containing fewer equations and unknowns was first studied by Serre. Finding an equivalent presentation of …
In this paper, a direct realization procedure is presented that brings a general 2-D polynomial system matrix to generalized state space (GSS) form, such that all the relevant properties including the zero structure of the system matrix are retained. It is shown that the transformation linking the original 2-D polynomi …
This paper deals with boundary feedback stabilization of a system, which consists of a wave equation in a bounded domain of , with Neumann boundary conditions. To stabilize the system, we propose a boundary feedback law involving only a damping term. Then using a new energy function, we show that the solutions of the s …