Title :
Euclidean Condition and Block Relative Gain: Connections, Conjectures, and Clarifications
Author :
Nett, Carl N. ; Manousiouthakis, Vasilios
Author_Institution :
Control Technology Branch, General Electric Corporate Research and Development Center, Building 37, Room 2001, Schenectady, New York 12345, (518) 387-5539
Abstract :
Given an arbitrary nonsingular complex matrix, certain quantitative relationships between its Euclidean condition number and its associated block relative gains are established. In addition, an as yet unproven relation of this type is conjectured. The control theoretic implications of the established relations are briefly discussed, clarifying the role of the block relative gain concept in control theory.
Keywords :
Aerospace control; Buildings; Chemical engineering; Chemical processes; Chemical technology; Control theory; Linear matrix inequalities; Process control;
Conference_Titel :
American Control Conference, 1987
Conference_Location :
Minneapolis, MN, USA