Open AccessClosed Form Solutions of Lyapunov Equations Using the Vech and Veck Operators
Author(s) -
Nicholas Assimakis,
Μαρία Αδάμ
Publication year - 2021
Publication title -
wseas transactions on mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.211
H-Index - 21
eISSN - 2224-2880
pISSN - 1109-2769
DOI - 10.37394/23206.2021.20.28
Subject(s) - operator (biology) , mathematics , lyapunov function , lyapunov equation , mathematical analysis , physics , nonlinear system , biochemistry , chemistry , repressor , quantum mechanics , transcription factor , gene
New closed forms are presented of the solutions of the continuous and discrete Lyapunov equations using the vech and veck operators. The proposed solutions are faster than the classical solutions derived using the vec operator. The solutions via veck operator are faster than the solutions via vech operator