Journal of Dynamical and Control Systems
Latest Publications


TOTAL DOCUMENTS

725
(FIVE YEARS 157)

H-INDEX

27
(FIVE YEARS 2)

Published By Springer-Verlag

1573-8698, 1079-2724

Author(s):  
Andrew Larkin

AbstractWe study rates of mixing for small random perturbations of one-dimensional Lorenz maps. Using a random tower construction, we prove that, for Hölder observables, the random system admits exponential rates of quenched correlation decay.


Author(s):  
Abdulla Azamov ◽  
Gafurjan Ibragimov ◽  
Khudoyor Mamayusupov ◽  
Marks Ruziboev

AbstractIn this work, the null controllability problem for a linear system in ℓ2 is considered, where the matrix of a linear operator describing the system is an infinite matrix with $\lambda \in \mathbb {R}$ λ ∈ ℝ on the main diagonal and 1s above it. We show that the system is asymptotically stable if and only if λ ≤− 1, which shows the fine difference between the finite and the infinite-dimensional systems. When λ ≤− 1 we also show that the system is null controllable in large. Further we show a dependence of the stability on the norm, i.e. the same system considered $\ell ^{\infty }$ ℓ ∞ is not asymptotically stable if λ = − 1.


Author(s):  
Mark Helman ◽  
Dominique Laurain ◽  
Ronaldo Garcia ◽  
Dan Reznik

Author(s):  
Seyed Mohsen Moosavi ◽  
Khosro Tajbakhsh
Keyword(s):  

Sign in / Sign up

Export Citation Format

Share Document