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The stability cone for a delay differential matrix equation

✍ Scribed by T. Khokhlova; M. Kipnis; V. Malygina

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
454 KB
Volume
24
Category
Article
ISSN
0893-9659

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✦ Synopsis

We describe a surface in R 3 which is called the stability cone. We prove necessary and sufficient stability conditions for the delay differential matrix equation αΊ‹+Ax+Bx(t -Ο„ ) = 0. These conditions are formulated in terms of the location with respect to the stability cone of some points determined by the eigenvalues of matrices A, B and the delay value. We require that matrices A, B admit a simultaneous triangularization.

πŸ“œ SIMILAR VOLUMES

Global stability for a class of delay di
Global stability for a class of delay differential equations
✍ U ForyΕ› πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 232 KB

The aim of this paper is to study the behaviour of solutions to a class of delay differential equations where the right-hand side depends only on the terms with delay. We study nonnegativity of solutions and global stability of the model.