A new approach for exponential stability criteria of new certain nonlinear neutral differential equations with mixed time-varying delays

© 2019 by the authors. This work is concerned with the delay-dependent criteria for exponential stability analysis of neutral differential equation with a more generally interval-distributed and discrete time-varying delays. By using a novel Lyapunov-Krasovkii functional, descriptor model transforma...

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Bibliographic Details
Main Authors: Janejira Tranthi, Thongchai Botmart, Wajaree Weera, Piyapong Niamsup
Format: Journal
Published: 2019
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Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85071152237&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/66694
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Institution: Chiang Mai University
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Summary:© 2019 by the authors. This work is concerned with the delay-dependent criteria for exponential stability analysis of neutral differential equation with a more generally interval-distributed and discrete time-varying delays. By using a novel Lyapunov-Krasovkii functional, descriptor model transformation, utilization of the Newton-Leibniz formula, and the zero equation, the criteria for exponential stability are in the form of linear matrix inequalities (LMIs). Finally, we present the effectiveness of the theoretical results in numerical examples to show less conservative conditions than the others in the literature.