A New Approach for Exponential Stability Criteria of New Certain Nonlinear Neutral Differential Equations with Mixed Time-Varying Delays

Janejira Tranthi, Thongchai Botmart, Wajaree Weera and Piyapong Niamsup
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Janejira Tranthi: Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand
Thongchai Botmart: Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand
Wajaree Weera: Department of Mathematics, Faculty of Science, University of Phayao, Phayao 56000, Thailand
Piyapong Niamsup: Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand

Mathematics, 2019, vol. 7, issue 8, 1-18

Abstract: 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.

Keywords: exponential stability; certain nonlinear neutral differential equations; mixed time-varying delays (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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