Não disponível / On this work we study stability properties of a system of Difference Equations x(t) = ∑Nk=1 Ak x(t-rk ), x ∈ Rn, Ak, n x n constant matrices, rk > 0, in the case that we allow the delays rk to vary in time. The main result we obtained is that if the above system is stable and the matrices Ak satisfy a commutative condiction Ak A*j = A*j, j, k = 1, 2, ..., n, then the system x(t) = ∑Nk=1 Ak x(t-rk (t)) is also stable.
| Identifer | oai:union.ndltd.org:usp.br/oai:teses.usp.br:tde-09042019-082653 |
| Date | 29 September 1988 |
| Creators | Garcia, Lizete Maria Crnkowise Fernandes |
| Contributors | Avellar, Cerino Ewerton de |
| Publisher | Biblioteca Digitais de Teses e Dissertações da USP |
| Source Sets | Universidade de São Paulo |
| Language | Portuguese |
| Detected Language | English |
| Type | Dissertação de Mestrado |
| Format | application/pdf |
| Rights | Liberar o conteúdo para acesso público. |
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