Asymptotic Behavior of Homogeneous Linear Recurrent Processes and Their Perturbations

Alexandru Lazari

Institute of Mathematics and Computer Science, 5 Academiei str., Chişinău, MD-2028, Moldova

Abstract: In this paper the impact of small perturbations on asymptotic evolution of homogeneous linear recurrent processes is investigated. Analytical methods for describing homogeneous linear recurrent systems, from convergence, periodicity and boundedness perspective, are presented. These methods are based on Jury Stability Criterion and the classification of the roots of minimal characteristic polynomial in relation to unit disc.

Keywords and phrases: homogeneous linear recurrence, characteristic polynomial, perturbation, asymptotic behavior.

MSC: 39A05, 39A06, 39A22, 39A30, 39A60

Received: 22.10.2022

DOI: 10.56415/basm.y2022.i2.p103

Bibliographic databases:

•