New stability conditions for nonlinear time varying delay systems

S. Elmadssia, K. Saadaoui and M. Benrejeb

International Journal of Systems Science, 2016, vol. 47, issue 9, 2009-2021

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.

Date: 2016
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DOI: 10.1080/00207721.2014.968653

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