Reference : Exponential Stabilization of a Class of Nonlinear Systems : A Generalized Gronwall-Be...
Scientific journals : Article
Engineering, computing & technology : Electrical & electronics engineering
http://hdl.handle.net/10993/6102
Exponential Stabilization of a Class of Nonlinear Systems : A Generalized Gronwall-Bellman Lemma Approach
English
Ndoye, Ibrahima mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit > ; University of Lorraine > Research Center for Automatic Control of Nancy (CRAN UMR, 7039, CNRS)]
Zasadzinski, Michel [> >]
Darouach, Mohamed [> >]
Radhy, Nour-Eddine [> >]
Bouaziz, Abdelhaq [> >]
2011
Nonlinear Analysis: Theory, Methods & Applications
74
7333-7341
Yes (verified by ORBilu)
International
0362-546X
1873-5215
[en] Nonlinear affine systems ; generalized Gronwall-Bellman lemma ; exponential stabilization ; static state feedback ; static output feedback ; robustness
[en] In this paper, stabilizing control design for a class of nonlinear affine systems is presented by using a new generalized Gronwall-Bellman lemma approach. The nonlinear systems under consideration can be non Lipschitz. Two cases are treated for the exponential stabilization: the static state feedback and the static output feedback. The robustness of the proposed control laws with regards to parameter uncertainties is also studied. A numerical example is given to show the effectiveness of the proposed method.
http://hdl.handle.net/10993/6102
10.1016/j.na.2011.07.051

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