Radiation induced instability in interconnected systems

Author

Hagerty, Patrick ; Bloch, Anthony M. ; Weinstein, Michael I.

Author_Institution

Dept. of Math., Michigan Univ., Ann Arbor, MI, USA

Volume

1

fYear

1999

fDate

1999

Firstpage

651

Abstract

We discuss the stability and instability properties of two classes of conservative dynamical systems which have two interconnected components: a finite-dimensional and an infinite-dimensional subsystem. The finite-dimensional component is a linear mechanical system with gyroscopic terms and it is coupled to a wave equation defined on an infinite spatial domain via two different types of coupling-integral and point coupling. In particular we analyze the conditions under which connection to a wave system induces instability in the finite-dimensional system

Keywords

feedback; interconnected systems; linear systems; matrix algebra; multidimensional systems; stability; conservative dynamical systems; finite-dimensional subsystem; gyroscopic terms; infinite spatial domain; infinite-dimensional subsystem; instability properties; integral coupling; interconnected systems; linear mechanical system; point coupling; radiation induced instability; stability properties; Energy exchange; Friction; Integral equations; Interconnected systems; Ionizing radiation; Mathematics; Mechanical systems; Partial differential equations; Stability analysis; Viscosity;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1999. Proceedings of the 38th IEEE Conference on

Conference_Location

Phoenix, AZ

ISSN

0191-2216

Print_ISBN

0-7803-5250-5

Type

conf

DOI

10.1109/CDC.1999.832860

Filename

832860