Title :
On the computation of the gap metric
Author :
Georgiou, Tryphon T.
Author_Institution :
Dept. of Electr. & Comput. Eng., Iowa State Univ., Ames, IA, USA
Abstract :
The author considers the gap metric introduced by G. Zames and A.K. El-Sakkary (1980). He derives an expression for the gap metric that is computable using well-known techniques from interpolation theory. The author also derives an alternate proof that the graph and the gap matrices are equivalent. This gives rise to upper and lower bounds for the graph metric, which is difficult to evaluate exactly
Keywords :
graph theory; interpolation; matrix algebra; gap metric; graph metric; graph theory; interpolation; matrix algebra; Closed loop systems; Feedback loop; Interpolation; Linear systems; Open loop systems; Robust stability; Topology; Transfer functions;
Conference_Titel :
Decision and Control, 1988., Proceedings of the 27th IEEE Conference on
Conference_Location :
Austin, TX
DOI :
10.1109/CDC.1988.194546