Title :
A perturbation approach to the stabilization of nonlinear cascade systems with time-delay
Author :
Michiels, W. ; Sepulchre, R. ; Roose, D. ; Moreau, L.
Author_Institution :
Dept. of Comput. Sci., Katholieke Univ., Leuven, Belgium
Abstract :
The effect of bounded input perturbations 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 controlling the size or shape of the perturbation. These results are used to study the stabilization of partially linear cascade systems with partial state feedback.
Keywords :
asymptotic stability; delays; eigenvalues and eigenfunctions; nonlinear differential equations; state feedback; bounded input perturbations; delay differential equations; nonlinear cascade systems; partial state feedback; partially linear cascade systems; perturbation approach; stabilization; time delay; Asymptotic stability; Control systems; Delay effects; Differential equations; H infinity control; Linear feedback control systems; Shape control; Size control; Stability analysis; State feedback;
Conference_Titel :
Decision and Control, 2002, Proceedings of the 41st IEEE Conference on
Print_ISBN :
0-7803-7516-5
DOI :
10.1109/CDC.2002.1184803
