Application of generalized Fibonacci sequences to simplification of mathematical models of linear dynamic systems

摘要

The paper presents an application of Generalized Fibonacci Sequences in the simplification of dynamic linear models. A special transformation into such sequences is defined in order to solve the problem. The simplification is performed in the domain of Generalized Fibonacci Sequences, and in the next step, a simplified model is created by an inverse transformation. The presented theory is illustrated with a numerical example.