| Home > Publications > Reports > Numerical Analysis and Applied Mathematics (TW) |
TW 298
W. Michiels, R. Sepulchre and D. Roose
Stability of perturbed delay differential equations and stabilization of nonlinear cascade systems
Abstract
In this paper the effect of bounded input perturbation on the stability of nonlinear globally asymptotically stable delay differential equations is analyzed. We investigate under which conditions global stability is preserved and if not, whether semi-global stabilization is possible by reducing the size of the perturbation or modifying its shape. This results in a general framework, in which the stabilization of partial linear cascade systems using partial state feedback can be treated systematically.
report.pdf / mailto: W. Michiels