Title :
On ISS and iISS properties of homogeneous systems
Author :
Bernuau, Emmanuel ; Polyakov, A. ; Efimov, D. ; Perruquetti, W.
Author_Institution :
Ecole Centrale de Lille, Univ. Lille Nord de France, Villeneuve-d´Ascq, France
Abstract :
Several conditions are proposed to check input-to-state stability (ISS) and integral input-to-state stability (iISS) properties for generic nonlinear systems applying the weighted homogeneity concept (global or local). The advantages of this result is that, under some mild conditions, the system robustness can be established as a function of the degree of homogeneity.
Keywords :
nonlinear systems; stability; generic nonlinear system; homogeneous systems; iISS properties; integral input-to-state stability properties; robustness; weighted homogeneity concept; Asymptotic stability; Lyapunov methods; Noise; Noise measurement; Robustness; Stability analysis; Vectors;
Conference_Titel :
Control Conference (ECC), 2013 European
Conference_Location :
Zurich
