Title :
Remarks on continuous feedback
Author :
Sontag, E. ; Sussmann, H.
Author_Institution :
Rutgers University, New Brunswick, N.J.
Abstract :
We show that, in general, it is impossible to stabilize a controllable system by means of a continuous feedback, even if memory is allowed. No optimality considerations are involved. All state spaces are Euclidean spaces, so no obstructions arising from the state space topology are involved either. For one dimensional state and input, we prove that continuous stabilization with memory is always possible.
Keywords :
Control systems; Extraterrestrial measurements; Mathematics; Optimal control; Pathology; Regulators; State feedback; State-space methods; Topology;
Conference_Titel :
Decision and Control including the Symposium on Adaptive Processes, 1980 19th IEEE Conference on
Conference_Location :
Albuquerque, NM, USA
DOI :
10.1109/CDC.1980.271934
