Stability of perturbed functional differential equations and stabilization of nonlinear cascades

• AUTHORS: W. Michiels, R. Sepulchre, D. Roose.
• 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.
• DATE OF ENTRY: December 1999.
• STATUS: SIAM Journal of Control and Optimization, Vol 40(3), pp 661-680, 2001.

• Paper: PS file.