Title
Mixed 𝓗 and 𝓗 performance objectives. I. Robust performance analysis.
Abstract
This paper introduces an induced-norm formulation of a mixed /spl Hscr//sub 2/ and /spl Hscr//sub /spl infin// performance criterion. It is shown that different mixed /spl Hscr//sub 2/ and /spl Hscr//sub /spl infin// norms arise from different assumptions on the input signals. While most mixed norms can be expressed explicitly using either transfer functions or state-space realizations of the system, there are cases where the explicit formulas are very hard to obtain. In the later cases, examples are given to show the intrinsic nature and difficulty of the problem. Mixed norm robust performance analysis under structured uncertainty is also considered in the paper.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>
Year
DOI
Venue
1994
10.1109/9.310030
IEEE Trans. Autom. Control.
Keywords
DocType
Volume
performance index,stability,state space,transfer function,linear systems,transfer functions,stochastic resonance,robustness,optimal control,stochastic processes,uncertainty,hydrogen
Journal
39
Issue
ISSN
Citations 
8
0018-9286
7
PageRank 
References 
Authors
0.85
4
4
Name
Order
Citations
PageRank
Kemin Zhou137259.31
K. Glover2345114.13
Bobby Bodenheimer32161182.31
Doyle J C43437499.39