Title :
A paradigm of ill-posedness with respect to time delays
Author_Institution :
Dept. of Math., Georgetown Univ., Washington, DC, USA
fDate :
7/1/1998 12:00:00 AM
Abstract :
The authors present a simple general model of an infinite-dimensional control system which is stabilized by a velocity feedback, but then destabilized by “small” or “large” time delays in the feedback. This model is in some sense generic for boundary-stabilized conservative hyperbolic linear partial differential equations
Keywords :
delay systems; eigenvalues and eigenfunctions; feedback; hyperbolic equations; multidimensional systems; partial differential equations; robust control; Hilbert space; eigenvalues; hyperbolic equations; ill-posedness paradigm; infinite-dimensional system; partial differential equations; time delay systems; velocity feedback; Automatic control; Control system analysis; Control systems; Delay effects; Feedback; Hilbert space; Nonlinear control systems; Nonlinear equations; Partial differential equations; Stability;
Journal_Title :
Automatic Control, IEEE Transactions on
