Analysis of robustness of homogeneous systems with time delays using Lyapunov‐Krasovskii functionals. (17th July 2020)

• Record Type: Journal Article
• Authors: Efimov, D.; Aleksandrov, A.
• Other Names: Fridman Leonid guestEditor.; Efimov Denis guestEditor.; Laghrouche Salah guestEditor.
• Is Part Of: International journal of robust and nonlinear control. Volume 31:Number 9(2021)
• Page Start: 3730
• Page End: 3746
• Publication Date: 2020-07-17
• Subjects: homogeneous systems -- Lyapunov‐Krasovskii method -- time delays; Automatic control -- Periodicals; Control theory -- Periodicals; Nonlinear systems -- Periodicals; 629.836
• DOI: 10.1002/rnc.5115
• Languages: English
• ISSNs: 1049-8923

Abstract

Summary: This article is devoted to stability analysis of homogeneous time‐delay systems applying the Lyapunov‐Krasovskii theory, and a generic structure of the functional is given that suits for any homogeneous system of nonzero degree (and can also be used for any dynamics admitting a homogeneous approximation). The obtained stability conditions are utilized to evaluate the domain of attraction for the delayed twisting control algorithm.