Stability and asymptotic behavior of perturbed difference systems
โ Scribed by Rigoberto Medina
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 436 KB
- Volume
- 98
- Category
- Article
- ISSN
- 0377-0427
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โฆ Synopsis
The asymptotic behavior of the solutions of a class of functional-difference equations is studied. The results obtained, which are applied to delay difference equations and summary difference equations, give good estimates and explicit radius of attraction. ~
๐ SIMILAR VOLUMES
The concept of h-stability is studied and compared with the classical stabilities. Basically, the h-stability is applied to obtain a uniform treatment for the concept of stability in difference equations.
In this paper we study a general variational stability, introduced mainly for weakly stable difference systems. Moreover, we obtain asymptotic formulae for these systems, which state new results about asymptotic behavior for perturbed systems under general hypotheses.
This paper is concerned with a delay difference system where Ic is a positive integer, and f is a signal transmission function of McCulloch-Pitts type. The difference system (\*) can be regarded as the discrete analog of the artifical neural network of two neurons with McCulloch-Pitts nonlinearity.