DocumentCode
700643
Title
Analysis of the local robustness of stability for maps
Author
Paice, A.D.B. ; Wirth, F.R.
Author_Institution
Inst. for Dynamical Syst., Univ. of Bremen, Bremen, Germany
fYear
1997
fDate
1-7 July 1997
Firstpage
1259
Lastpage
1264
Abstract
In this paper the problem of measuring the robustness of stability for a perturbed discrete time nonlinear system is studied. Various stability radii are introduced and their values for the nonlinear system and its linearization are compared and it is shown that they generically coincide. Some examples are presented showing that it is sometimes necessary to consider the nonlinear system directly, and not simply to rely on the information provided by the linearization.
Keywords
discrete time systems; linearisation techniques; nonlinear control systems; nonlinear dynamical systems; perturbation techniques; robust control; local robustness analysis; map stability; nonlinear system linearization; perturbed discrete time nonlinear system; stability radii; stability robustness measurement problem; Asymptotic stability; Bismuth; Manifolds; Nonlinear systems; Robustness; Stability analysis; Topology; Robust stability; discrete time; nonlinear dynamics;
fLanguage
English
Publisher
ieee
Conference_Titel
Control Conference (ECC), 1997 European
Conference_Location
Brussels
Print_ISBN
978-3-9524269-0-6
Type
conf
Filename
7082273
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