Finite-Time Attractivity for Diagonally Dominant Systems with Off-Diagonal Delays
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ID: 90844
2012
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Abstract
We introduce a notion of attractivity for delay equations which are defined on bounded time intervals. Our main result shows that linear delay equations are finite-time attractive, provided that the delay is only in the coupling terms between different components, and the system is diagonally dominant. We apply this result to a nonlinear Lotka-Volterra system and show that the delay is harmless and does not destroy finite-time attractivity.
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doan2012finitetimeabstract
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| Authors | Doan, T. S.;Siegmund, S.; |
| Journal | abstract and applied analysis |
| Year | 2012 |
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