Title :
Continuity properties of real/complex μ
Author_Institution :
Dept. of Mech. Eng., California Univ., Berkeley, CA, USA
Abstract :
The structured singular value as an important linear algebra tool to study a class of matrix perturbation problems is addressed. It is useful for analyzing the robustness of stability and performance of uncertain, linear systems. It has been pointed out by B. Barmish et al. (28th IEEE CDC Proceedings, 1989) that, in general, the structured singular value is a discontinuous function of its argument. The author shows that if complex uncertainties are included (besides real uncertainties), then, under mild conditions, the structured singular value becomes a continuous function of the argument
Keywords :
control system analysis; linear algebra; linear systems; matrix algebra; perturbation techniques; stability; complex uncertainties; continuous function; linear algebra; linear systems; matrix perturbation; stability; structured singular value; Artificial intelligence; Linear algebra; Linear systems; Mechanical factors; Robust stability; Uncertainty;
Conference_Titel :
Decision and Control, 1990., Proceedings of the 29th IEEE Conference on
Conference_Location :
Honolulu, HI
DOI :
10.1109/CDC.1990.203784
