Exponential Stability of a Certain Neutral Differential Equation with Time - Varying Delays
Article Sidebar
Main Article Content
Abstract
In this paper, the exponential stability conditions for neutral differential equations with time-varying delays are presented. By improving the integral inequality, Lyapunov–Krasovskii functional. And determine sufficient conditions and show a comparison of conditions.
Article Details
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
The content within the published articles, including images and tables, is copyrighted by Rajamangala University of Technology Rattanakosin. Any use of the article's content, text, ideas, images, or tables for commercial purposes in various formats requires permission from the journal's editorial board.
Rajamangala University of Technology Rattanakosin permits the use and dissemination of article files under the condition that proper attribution to the journal is provided and the content is not used for commercial purposes.
The opinions and views expressed in the articles are solely those of the respective authors and are not associated with Rajamangala University of Technology Rattanakosin or other faculty members in the university. The authors bear full responsibility for the content of their articles, including any errors, and are responsible for the content and editorial review. The editorial board is not responsible for the content or views expressed in the articles.
References
Liao, X., Liu, Y., Guo, S., & Mai, H. (2009). Asymptotic stability of delayed neural networks: a descriptor system approach. Communications in Nonlinear Science and Numerical Simulation, 14(7), 3120-3133.
Park, J. H. (2005). Delay-dependent criterion for guaranteed cost control of neutral delay systems. Journal of optimization theory and applications, 124, 491-502.
Chen, H. (2012). Some improved criteria on exponential stability of neutral differential equation. Advances in Difference equations, 2012, 1-9. doi:10.1186/1687-1847-2012-170.
Keadnarmol, P., & Rojsiraphisal, T. (2014). Globally exponential stability of a certain neutral differential equation with time-varying delays. Advances in Difference Equations, 2014, 1-10.
Tranthi, J., Botmart, T., Weera, W., & Niamsup, P. (2019). A new approach for exponential stability criteria of new certain nonlinear neutral differential equations with mixed time-varying delays. Mathematics, 7(8), 737.