On the stability of non-stationary nonlinear difference systems with switching
Sign Up to like & getrecommendations! Published in 2019 at "International Journal of Dynamics and Control"
DOI: 10.1007/s40435-019-00581-2
Abstract: Stability problem for a class of non-stationary nonlinear switched systems is investigated. It is assumed that right-hand sides of considered systems are described by homogeneous functions. Conditions of preservation of asymptotic stability under discretization of… read more here.
Keywords: systems switching; difference systems; non stationary; stability ... See more keywords
Asymptotic summation of perturbed linear difference systems in critical case
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Difference Equations and Applications"
DOI: 10.1080/10236198.2019.1662412
Abstract: We propose an asymptotic summation method for certain class of linear difference systems. Both the ideas of the centre manifold theory and the averaging method are used to construct the asymptotics for solutions. We illustrate… read more here.
Keywords: summation perturbed; difference; asymptotic summation; difference systems ... See more keywords
Stability of fractional variable order difference systems
Sign Up to like & getrecommendations! Published in 2019 at "Fractional Calculus and Applied Analysis"
DOI: 10.1515/fca-2019-0044
Abstract: Abstract The problem of stability of the Grünwald-Letnikov-type linear fractional variable order discrete-time systems is discussed. As a definition of the Grünwald-Letnikov difference is a convolution type, the 𝓩-transform is used as an effective tool… read more here.
Keywords: variable order; difference systems; order; stability ... See more keywords