Title
New Iterative Algorithms for Solving Coupled Markovian Jump Lyapunov Equations
Abstract
In this technical note, two iterative algorithms are developed for solving the coupled Lyapunov matrix equations associated with discrete-time Markovian jump linear systems. Some convergence results have been obtained for these algorithms. The new algorithms are different from the previous results in nature and they can be regarded as sequential versions of the parallel algorithm reported in the work of Borno and Gajic. Numerical experiments show that the proposed algorithms are faster in terms of the number of iterations to achieve the desired accuracy.
Year
DOI
Venue
2015
10.1109/TAC.2014.2326273
IEEE Trans. Automat. Contr.
Keywords
Field
DocType
Iterative methods,Lyapunov methods
Lyapunov function,Lyapunov equation,Parallel algorithm,Iterative method,Relaxation (iterative method),Algorithm,Lyapunov optimization,Lyapunov redesign,Lyapunov exponent,Mathematics
Journal
Volume
Issue
ISSN
60
1
0018-9286
Citations 
PageRank 
References 
6
0.66
6
Authors
2
Name
Order
Citations
PageRank
Ai-Guo Wu161.00
Guang-Ren Duan21735177.31