On stability of generalised systems of difference equation with\n non-consistent initial conditions

2016/12/13 by Nicholas Apostolopoulos, Apostolopoulos, Nicholas, Fernando Ortega +3
Computer Science · Medicine · #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical and Theoretical Epidemiology and Ecology Models #Matrix Theory and Algorithms #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.1612.04120

openalex publication_date 2016/12/13 · openalex created_date 2022/09/02 · openalex updated_date 2026/07/28

Abstract

For given non-consistent initial conditions, we study the stability of a\nclass of generalised linear systems of difference equations with constant\ncoefficients and taking into account that the leading coefficient can be a\nsingular matrix. We focus on the optimal solutions of the system and derive\neasily testable conditions for stability.\n

Citations

• Causality of singular linear discrete time systems

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