Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
Absolute Asymptotic Stability of Discrete Linear Inclusions.
Authors: D. Cheban, C. Mammana
– 0.24 Mb
Abstract
The article is devoted to the study of absolute asymptotic stability of discrete linear inclusions in Banach (both finite and infinite dimensional) space. We establish the relation between absolute asymptotic stability, asymptotic stability, uniform asymptotic stability and uniform exponential stability. It is proved that for asymptotical compact (a sum of compact operator and contraction) discrete linear inclusions the notions of asymptotic stability and uniform exponential stability are equivalent. It is proved that finite-dimensional discrete linear inclusion, defined by matrices {A1, A2, ..., Am} is absolutely asymptotically stable if it does not admit nontrivial bounded full trajectories and at least one of the matrices {A1, A2, ..., Am} is asymptotically stable. We study this problem in the framework of non-autonomous dynamical systems (cocyles).E-mails: ,
Fulltext
– 0.24 Mb
Contents
- Automodel solution for dynamic problem of two-component media.
- On the structure of finite medial quasigroups.
- Optimal multicommodity flows in dynamic networks and algorithms for their finding.
- Some new exact solutions for the lineal flow of a non-Newtonian fluid.
- Absolute Asymptotic Stability of Discrete Linear Inclusions.
- On geometrical properties of the spaces defined by the Pfaff equations.
- A nonlinear hydrodynamic stability criterion derived by a generalized energy method.
