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Almost reducibility of linear difference systems from a spectral point of view
(American Institute of Mathematical Sciences, 2017)
We prove that, under some conditions, a linear nonautonomous difference system is Bylovs almost reducible to a diagonal one whose terms are contained in the Sacker and Sell spectrum of the original system.
In the above ...
Cauchy matrix for linear almost periodic systems and some consequences
(2011)
A novel method to construct the fundamental matrix for a linear almost periodic system is proposed, provided that the diagonal terms satisfy an average separation condition and the off-diagonal coefficients are L∞- small. ...
Average reachability of continuous-time Markov jump linear systems and the linear minimum mean square estimator
(SIAM Journal on Control and Optimization, 2018)
Diagonalizability of nonautonomous linear systems with bounded continuous coefficients
(Elsevier, 2013)
A linear ODE system with bounded continuous coefficients is studied. Provided that the
diagonal terms are ‘‘separated’’ and the off-diagonal terms satisfy a smallness threshold,
we present some sufficient conditions for ...
Differentiability of Palmer's linearization theorem and converse result for density functions
(Academic Press Inc Elsevier Science, 2015)
We study differentiability properties in a particular case of the Palmer's linearization theorem, which states the existence of a homeomorpbism H between the solutions of a linear ODE system having exponential dichotomy ...
Necessary and Sufficient Conditions to be Aneigenvalue for Linearly Recurrent Dynamical Cantor Systems
(LONDON MATH SOC, MORGAN HOUSE, 2005-12)
Necessary and sufficient conditions are given for linearly recurrent Cantor dynamical systems to
have measurable and continuous eigenfunctions. Also an example of a linearly recurrent system
with a nontrivial Kronecker ...
Induced OWA operators in linear regression
(IOS Press, 2020)
The induced ordered weighted average (IOWA) is an aggregation operator that provides a parameterized family of operators between the minimum and the maximum. This work presents a new application that uses the simple linear ...
Boundary of subdifferentials and calmness moduli in linear semi-infinite optimization
(Springer, 2015)
This paper was originally motivated by the problem of providing a point-based formula (only involving the nominal data, and not data in a neighborhood) for estimating the calmness modulus of the optimal set mapping in ...
Dichotomy spectrum and almost topological conjugacy on nonautonomus unbounded difference systems
(American Institute of Mathematical Sciences, 2018)
We construct a bijection between the solutions of a linear system of nonautonomous difference equations which is uniformly asymptotically stable and its unbounded perturbation. The key idea used to made this bijection is ...