On the Solution of the Eigenvalue Assignment Problem for Discrete-Time Systems
Joint Authors
Mostafa, El-Sayed M. E.
Aboutahoun, Abdallah W.
Omar, Fatma F. S.
Source
Journal of Applied Mathematics
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-08-10
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
The output feedback eigenvalue assignment problem for discrete-time systems is considered.
The problem is formulated first as an unconstrained minimization problem, where a three-term nonlinear conjugate gradient method is proposed to find a local solution.
In addition, a cut to the objective function is included, yielding an inequality constrained minimization problem, where a logarithmic barrier method is proposed for finding the local solution.
The conjugate gradient method is further extended to tackle the eigenvalue assignment problem for the two cases of decentralized control systems and control systems with time delay.
The performance of the methods is illustrated through various test examples.
American Psychological Association (APA)
Mostafa, El-Sayed M. E.& Aboutahoun, Abdallah W.& Omar, Fatma F. S.. 2017. On the Solution of the Eigenvalue Assignment Problem for Discrete-Time Systems. Journal of Applied Mathematics،Vol. 2017, no. 2017, pp.1-12.
https://search.emarefa.net/detail/BIM-1170009
Modern Language Association (MLA)
Mostafa, El-Sayed M. E.…[et al.]. On the Solution of the Eigenvalue Assignment Problem for Discrete-Time Systems. Journal of Applied Mathematics No. 2017 (2017), pp.1-12.
https://search.emarefa.net/detail/BIM-1170009
American Medical Association (AMA)
Mostafa, El-Sayed M. E.& Aboutahoun, Abdallah W.& Omar, Fatma F. S.. On the Solution of the Eigenvalue Assignment Problem for Discrete-Time Systems. Journal of Applied Mathematics. 2017. Vol. 2017, no. 2017, pp.1-12.
https://search.emarefa.net/detail/BIM-1170009
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1170009