Finite-Time Attractivity for Diagonally Dominant Systems with Off-Diagonal Delays | Zendy

Thai Son Doan | Zendy; Stefan Siegmund | Zendy

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Finite-Time Attractivity for Diagonally Dominant Systems with Off-Diagonal Delays

Author(s) -

Thai Son Doan,

Stefan Siegmund

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/210156

Subject(s) - mathematics , diagonal , diagonally dominant matrix , bounded function , nonlinear system , mathematical analysis , control theory (sociology) , pure mathematics , geometry , computer science , physics , quantum mechanics , invertible matrix , control (management) , artificial intelligence

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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