OUTPUT FEEDBACK AND GENERIC STABILIZABILITY.

Abstract

Questions of pole placement and stabilization are considered for generic linear systems with prescribed state, input and output dimensions, where the controller must be implemented by linear memoryless output feedback. A criterion is presented, in terms of a special pole placement property, for generic stabilizability, and it is used to describe constraints on the dimensions which are consistent with generic stabilizability. The authors also discuss the rationality and solvability by radicals of stabilizing or pole positioning gains, and they describe how decision algebra can theoretically handle existence questions for generic systems. Show more