Title :
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
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;
Conference_Titel :
Decision and Control, 1999. Proceedings of the 38th IEEE Conference on
Conference_Location :
Phoenix, AZ
Print_ISBN :
0-7803-5250-5
DOI :
10.1109/CDC.1999.832860
