Title :
Structured uncertainty and the graph topology
Author :
Vinnicombe, Glenn
Author_Institution :
Dept. of Eng., Cambridge Univ., UK
Abstract :
A new metric on the space of linear time-invariant continuous-time systems is defined. This metric is no greater than the gap metric and is in fact the smallest metric for which a certain robust stabilization result holds. Unlike all other known metrices which induce the graph topology, it has an obvious frequency response interpretation. This allows questions regarding stability robustness in the face of parametric uncertainty to be considered terms of this metric
Keywords :
graph theory; linear systems; stability; frequency response; graph topology; linear time-invariant continuous-time systems; parametric uncertainty; robust stabilization; stability robustness; Feedback; Frequency response; Iterative methods; Optimization methods; Robust control; Robust stability; Robustness; Topology; Transfer functions; Uncertainty;
Conference_Titel :
Decision and Control, 1991., Proceedings of the 30th IEEE Conference on
Conference_Location :
Brighton
Print_ISBN :
0-7803-0450-0
DOI :
10.1109/CDC.1991.261364
