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New stability conditions for nonlinear time varying delay systems
Journal article   Peer reviewed

New stability conditions for nonlinear time varying delay systems

S. Elmadssia, K. Saadaoui and M. Benrejeb
International journal of systems science, Vol.47(9), pp.2009-2021
03/07/2016

Abstract

arrow matrix delay-dependent stability Lurie-Postnikov systems nonlinear time delay systems stability analysis
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.

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