WSEAS Transactions on Systems and Control
Print ISSN: 1991-8763, E-ISSN: 2224-2856
Volume 13, 2018
A Short Note on the Asymptotically Stable Lagrange Solutions of 2-D Systems with Simultaneously Triangularizable Matrices
Author:
Abstract: This short note aims to investigate the asymptotic stability conditions for 2-d (two dimensional) discrete system whose state space representation is composed by matrices that can be simultaneously triangularizable. To accomplish it, the original system is transformed into a system with only triangular matrices. Then Lagrange solutions are assumed for this transformed system and conditions for asymptotic stability are sought.