Gradient Based Iterative Algorithm to Solve General Coupled Discrete-Time Periodic Matrix Equations over Generalized Reflexive Matrices

The discrete-time periodic matrix equations are encountered in periodic state feedback problems and model reduction of periodic descriptor systems. The aim of this paper is to compute the generalized reflexive solutions of the general coupled discrete-time periodic matrix equations. We introduce a g...

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Veröffentlicht in:Mathematical modelling and analysis Jg. 21; H. 4; S. 533 - 549
1. Verfasser: Hajarian, Masoud
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Vilnius Gediminas Technical University 23.06.2016
Schlagworte:
Algorithms
discrete-time periodic matrix equation
generalized reflexive solution
gradient based iterative algorithm
iterative algorithm
Mathematical research
Matrices (Mathematics)
generalized reflexive solution
gradient based iterative algorithm
discrete-time periodic matrix equation
iterative algorithm
ISSN:1392-6292, 1648-3510
Online-Zugang:Volltext
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Beschreibung
Zusammenfassung:The discrete-time periodic matrix equations are encountered in periodic state feedback problems and model reduction of periodic descriptor systems. The aim of this paper is to compute the generalized reflexive solutions of the general coupled discrete-time periodic matrix equations. We introduce a gradient-based iterative (GI) algorithm for finding the generalized reflexive solutions of the general coupled discretetime periodic matrix equations. It is shown that the introduced GI algorithm always converges to the generalized reflexive solutions for any initial generalized reflexive matrices. Finally, two numerical examples are investigated to confirm the efficiency of GI algorithm.
ISSN:1392-6292
1648-3510
DOI:10.3846/13926292.2016.1186119