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
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;
Conference_Titel :
Control Conference (ECC), 1997 European
Conference_Location :
Brussels
Print_ISBN :
978-3-9524269-0-6
