New results on delay dependent stability for a class of nonlinear systems with additive time delay

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Copy For Citation

Altun Y.

Communication in Mathematical Modeling and Applications, vol.7, no.2, pp.1-14, 2022 (Peer-Reviewed Journal)

• Publication Type: Article / Article
• Volume: 7 Issue: 2
• Publication Date: 2022
• Journal Name: Communication in Mathematical Modeling and Applications
• Journal Indexes: Index Copernicus
• Page Numbers: pp.1-14
• Van Yüzüncü Yıl University Affiliated: Yes

Abstract

In this manuscript, the issue of delay dependent stability for a class of additive delayed nonlinear systems has been searched.

By constructing an appropriate Lyapunov-Krasovskii functional (LKF), some new stability criteria are established in terms of linear

matrix inequalities (LMIs) which can be easily tested. This manuscript also presents a new result of stability analysis for a class of

nonlinear systems with two additive time delays. Finally, two illustrative examples with numerical simulations have been given to show

the applicability of the obtained theoretical results by using the MATLAB-Simulink.