Title :
Stabilization for a class of unbounded systems
Author :
Knowles, Gareth J. ; Rebarber, Richard
Author_Institution :
Grumman Corp. Res. Center, Bethpage, NY, USA
Abstract :
The authors identify a class of unbounded systems evolving on a Banach space X for which necessary and sufficient conditions exist for μ-exponential stabilization under feedback. These conditions are in terms of a decomposition of the spectrum of the homogeneous system and properties of the subsystem corresponding to this decomposition. Applications include Euler operators under perturbation and the temperature profile of a bar with Dirichlet boundary conditions
Keywords :
stability; topology; μ-exponential stabilization; Banach space; Dirichlet boundary conditions; Euler operators; bar; decomposition; feedback; necessary and sufficient conditions; temperature profile; unbounded systems; Boundary conditions; Control systems; Eigenvalues and eigenfunctions; Feedback; Mathematics; Niobium; Partial differential equations; Sufficient conditions; Temperature sensors;
Conference_Titel :
Decision and Control, 1988., Proceedings of the 27th IEEE Conference on
Conference_Location :
Austin, TX
DOI :
10.1109/CDC.1988.194518
