Global exponential stability for multi-group neutral delayed systems based on Razumikhin method and graph theory |
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Authors: | Ying Guo Yida Wang Xiaohua Ding |
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Institution: | 1. Department of Mathematics, Qingdao Technological University, Qingdao 266520, PR China;2. Department of Mathematics, Harbin Institute of Technology (Weihai), Weihai 264209, PR China |
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Abstract: | This paper is concerned with the global exponential stability for an original class called coupled systems of multi-group neutral delayed differential equations (MNDDEs). By employing Razumikhin method along with graph theory, sufficient conditions are established to guarantee the global exponential stability of MNDDEs, which are in the form of Razumikhin theorem. For the convenience of use, sufficient conditions in the form of coefficients are also obtained. Furthermore, coefficient-type criterion is employed to study the stability of coupled neutral delay oscillators which shows the applicability of our findings. Finally, two numerical examples are given to demonstrate the validity and feasibility of the theoretical results. |
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Keywords: | Corresponding author |
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