A counterexample to Mustafa-Glovers' monotonicity conjecture

It is conjectured by Mustafa and Glover (1990) that the norm of the closed-loop transfer function monotonically increases as the specified norm bound y increases, if the so-called central controller is used. In this paper, a simple counterexample is given by reducing the problem to an interpolation...

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Bibliographic Details
Published in:Systems & control letters 1996-07, Vol.28 (3), p.129-137
Main Authors: Ushida, Shun, Kimura, Hidenori
Format: Article
Language:English
Subjects:
Applied sciences
Central controller
Computer science
control theory
systems
Control theory. Systems
Exact sciences and technology
H∞ control
Interpolation
Monotinicity
System theory
γ-characteristic
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Summary:It is conjectured by Mustafa and Glover (1990) that the norm of the closed-loop transfer function monotonically increases as the specified norm bound y increases, if the so-called central controller is used. In this paper, a simple counterexample is given by reducing the problem to an interpolation problem. A sufficient condition which guarantees the monotonicity of the γ-characteristic is shown.
ISSN:0167-6911
1872-7956
DOI:10.1016/0167-6911(96)00017-5