Stability and Asymptotic Behavior for Certain Systems of Delay Difference Equations
J. Morchało (1997)
Publications de l'Institut Mathématique
Similarity:
J. Morchało (1997)
Publications de l'Institut Mathématique
Similarity:
Salvador A. Rodríguez, Luc Dugard, Jean-Michel Dion, Jesús de León (2009)
Kybernetika
Similarity:
This paper focuses on the delay-dependent robust stability of linear neutral delay systems. The systems under consideration are described by functional differential equations, with norm bounded time varying nonlinear uncertainties in the "state" and norm bounded time varying quasi-linear uncertainties in the delayed "state" and in the difference operator. The stability analysis is performed via the Lyapunov-Krasovskii functional approach. Sufficient delay dependent conditions for robust...
Medina, Rigoberto (2002)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Ratchagit, K., Phat, Vu N. (2010)
Journal of Inequalities and Applications [electronic only]
Similarity:
Abdelouaheb Ardjouni, Ahcene Djoudi (2013)
Mathematica Bohemica
Similarity:
In this paper we use the fixed point method to prove asymptotic stability results of the zero solution of a generalized linear neutral difference equation with variable delays. An asymptotic stability theorem with a sufficient condition is proved, which improves and generalizes some results due to Y. N. Raffoul (2006), E. Yankson (2009), M. Islam and E. Yankson (2005).
Medina, Rigoberto (2004)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Christos G. Philos, Ioannis K. Purnaras (2007)
Archivum Mathematicum
Similarity:
Autonomous linear neutral delay and, especially, (non-neutral) delay difference equations with continuous variable are considered, and some new results on the behavior of the solutions are established. The results are obtained by the use of appropriate positive roots of the corresponding characteristic equation.