On robustness of finite-time stability of homogeneous affine nonlinear systems and cascade interconnections. Issue 3 (4th March 2022)

• Record Type: Journal Article
• Authors: Braidiz, Youness; Efimov, Denis; Polyakov, Andrey; Perruquetti, Wilfrid
• Is Part Of: International journal of control. Volume 95:Issue 3(2022)
• Page Start: 768
• Page End: 778
• Publication Date: 2022-03-04
• Subjects: Homogeneous systems -- robustness -- finite-time stability; Automatic control -- Periodicals; Electronic journals; 629.8
• DOI: 10.1080/00207179.2020.1823017
• Languages: English
• ISSNs: 0020-7179

Abstract

Abstract : This paper investigates robustness of finite-time stability property for a homogeneous nonlinear dynamical system with sufficiently small affine inputs. In addition, robust stability conditions are presented for the systems admitting homogeneous approximations at the origin or at infinity. The effects of additional stable unmodeled dynamics in the input channel on robust stability are investigated. The utility of the obtained results is illustrated via robustness analysis of homogeneous observer with time-varying gains.