Accession Number : ADA116323

Title :   Feedback Stabilization of 'Hybrid' Bilinear Systems.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Slemrod,M ; Rogers,E L

PDF Url : ADA116323

Report Date : Apr 1982

Pagination or Media Count : 23

Abstract : This paper considers the problem of stabilizing a control system governed by a combination of partial and ordinary differential equations. The partial differential equations govern the evolution of the system in the interior of some spatial domain, the ordinary differential equations describe the evolution of the boundary data; the control enters through the boundary ordinary differential equations in a bilinear fashion. We provide sufficient conditions for feedback stabilization of such 'hybrid' systems. Two examples to wave equations with dynamic boundary conditions are provided. (Author)

Descriptors :   *Partial differential equations, *Differential equations, *Control, *Feedback, *Stabilization, Hybrid systems, Evolution(General), Wave equations, Spatial distribution, Boundaries

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE