Abstract
Dynamical systems with discrete time (discrete systems) are widely used in various applications (e.g., see the monographs [1–4]). Most often, the parameters of such systems are chosen from the field R of real numbers or C of complex numbers. However, if one deals with the so-called sequential machines [5] used in construction of nodes of discrete objects for communication and control, finite fields, in particular, the field GF (p) of residues modulo a prime number p [6], are chosen as the parameter spaces. Further, a number of problems in contemporary theoretical physics require that techniques for studying equations of various types over the field of p-adic numbers be developed [7]. Thus, numerous problems in applied and general mathematics are stated in terms of discrete systems over specific fields; moreover, the range of such fields is fairly broad. Therefore, it seems worthwhile to study discrete equations over arbitrary fields so as to simulate well-known models using a single mathematical object and to investigate them with the help of unified approaches. In this paper, we prove stabilization criteria for linear discrete nonstationary systems whose parameters may belong to an arbitrary field.
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call