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Asymptotic stability of differential systems of neutral type

โœ Scribed by R.P. Agarwal; S.R. Grace

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
322 KB
Volume
13
Category
Article
ISSN
0893-9659

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โœฆ Synopsis

offer sufficient conditions for the asymptotic stability of the equilibrium point of linear neutral differential systems. An application of our results to a family of artificial neural networks of neutral type is also illustrated.

๐Ÿ“œ SIMILAR VOLUMES

Global asymptotic stability of nonlinear
Global asymptotic stability of nonlinear delayed systems of neutral type
โœ Takashi Amemiya; Wanbiao Ma ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 119 KB

Global asymptotic stability of delayed di erential equation of neutral type with o -diagonally increasing right-hand side is considered. First, it is shown that by using a special form of variable transformation, the considered system can be reduced to a di erential di erence inequality of retarded

Asymptotic stability of certain neutral
Asymptotic stability of certain neutral differential equations
โœ R.P Agarwal; S.R Grace ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 415 KB

Sufficient conditions for all solutions of the neutral differential equations of the form -$ (z(t) + c(t)z(t -r)) + p(t)z(t) + q(t)o(t -l7) = 0 to approach zero as t + ca are established. Some applications to neutral logistic equations and neural networks of neutral type are also presented.

Asymptotic stability of Hessenberg delay
Asymptotic stability of Hessenberg delay differential-algebraic equations of retarded or neutral type
โœ Wenjie Zhu; Linda R. Petzold ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 686 KB

In this paper we prove that for Hessenberg delay DAEs of retarded type, the direct linearization along the stationary solution is valid. This validity is obtained by showing the equivalence between the direct linearization and the linearization of the state space form of the original problem, which