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Asymptotic Stability of the Golden-Section Control Law for Multi-Input and Multi-Output Linear Systems
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-02-19
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
This paper is concerned with the problem of the asymptotic stability of the characteristic model-based golden-section control law for multi-input and multi-output linear systems.
First, by choosing a set of polynomial matrices of the objective function of the generalized least-square control, we prove that the control law of the generalized least square can become the characteristic model-based golden-section control law.
Then, based on both the stability result of the generalized least-square control system and the stability theory of matrix polynomial, the asymptotic stability of the closed loop system for the characteristic model under the control of the golden-section control law is proved for minimum phase system.
American Psychological Association (APA)
Sun, Duo-Qing& Sun, Zhu-Mei. 2012. Asymptotic Stability of the Golden-Section Control Law for Multi-Input and Multi-Output Linear Systems. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-11.
https://search.emarefa.net/detail/BIM-993230
Modern Language Association (MLA)
Sun, Duo-Qing& Sun, Zhu-Mei. Asymptotic Stability of the Golden-Section Control Law for Multi-Input and Multi-Output Linear Systems. Journal of Applied Mathematics No. 2012 (2012), pp.1-11.
https://search.emarefa.net/detail/BIM-993230
American Medical Association (AMA)
Sun, Duo-Qing& Sun, Zhu-Mei. Asymptotic Stability of the Golden-Section Control Law for Multi-Input and Multi-Output Linear Systems. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-11.
https://search.emarefa.net/detail/BIM-993230
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993230