Guido Izuta, "A Short Note on the Asymptotically Stable Lagrange Solutions of 2-D Systems with Simultaneously Triangularizable Matrices," WSEAS Transactions on Systems and Control, vol. 13, pp. 506-509, 2018, DOI:
Guido Izuta. A Short Note on the Asymptotically Stable Lagrange Solutions of 2-D Systems with Simultaneously Triangularizable Matrices.
WSEAS Transactions on Systems and Control. 2018;13:506-509.
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.
Keywords:
2-d systems, simultaneously triangularizable matrices, asymptotic stability, Lagrange method, Lie algebra, Laffey’s theorem
Pages: 506-509 WSEAS Transactions on Systems and Control, ISSN / E-ISSN: 1991-8763 / 2224-2856, Volume 13, 2018, Art. #56 DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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