Recursive Reduced-Order Algorithm for Singularly Perturbed Cross Grammian Algebraic Sylvester Equation
Joint Authors
Gajic, Zoran
Al-Iedani, Intessar
Source
Mathematical Problems in Engineering
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-12-12
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
A new recursive algorithm is developed for solving the algebraic Sylvester equation that defines the cross Grammian of singularly perturbed linear systems.
The cross Grammian matrix provides aggregate information about controllability and observability of a linear system.
The solution is obtained in terms of reduced-order algebraic Sylvester equations that correspond to slow and fast subsystems of a singularly perturbed system.
The rate of convergence of the proposed algorithm is Oε, where ε is a small singular perturbation parameter that indicates separation of slow and fast state variables.
Several real physical system examples are solved to demonstrate efficiency of the proposed algorithm.
American Psychological Association (APA)
Al-Iedani, Intessar& Gajic, Zoran. 2016. Recursive Reduced-Order Algorithm for Singularly Perturbed Cross Grammian Algebraic Sylvester Equation. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-9.
https://search.emarefa.net/detail/BIM-1111874
Modern Language Association (MLA)
Al-Iedani, Intessar& Gajic, Zoran. Recursive Reduced-Order Algorithm for Singularly Perturbed Cross Grammian Algebraic Sylvester Equation. Mathematical Problems in Engineering No. 2016 (2016), pp.1-9.
https://search.emarefa.net/detail/BIM-1111874
American Medical Association (AMA)
Al-Iedani, Intessar& Gajic, Zoran. Recursive Reduced-Order Algorithm for Singularly Perturbed Cross Grammian Algebraic Sylvester Equation. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-9.
https://search.emarefa.net/detail/BIM-1111874
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1111874