Remarks on continuous feedback

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
STATE FEEDBACK
STATE-SPACE METHODS
OPTIMAL CONTROL
TOPOLOGY
EXTRATERRESTRIAL MEASUREMENTS
MATHEMATICS
REGULATORS
PATHOLOGY

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