New stability conditions for nonlinear time varying delay systems. Issue 9 (3rd July 2016)

• Record Type: Journal Article
• Authors: Elmadssia, S.; Saadaoui, K.; Benrejeb, M.
• Is Part Of: International journal of systems science. Volume 47:Issue 9(2016)
• Page Start: 2009
• Page End: 2021
• Publication Date: 2016-07-03
• Subjects: nonlinear time delay systems -- stability analysis -- delay-dependent stability -- arrow matrix -- Lurie–Postnikov systems; System analysis -- Periodicals; 003.3
• DOI: 10.1080/00207721.2014.968653
• Languages: English
• ISSNs: 0020-7721

Abstract

Abstract : In this paper, new practical stability conditions for a class of nonlinear time varying delay systems are proposed. The study is based on the use of a specific state space description, known as the Benrejeb characteristic arrow form matrix, and aggregation techniques to obtain delay-dependent stability conditions. Application of this method to delayed Lurie–Postnikov nonlinear systems is given. Illustrative examples are presented to show the effectiveness of the proposed approach.