Journal of Applied Mathematics

Asymptotic Stability of the Golden-Section Control Law for Multi-Input and Multi-Output Linear Systems

Duo-Qing Sun and Zhu-Mei Sun

Full-text: Open access

Abstract

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.

Article information

Source
J. Appl. Math., Volume 2012 (2012), Article ID 407409, 11 pages.

Dates
First available in Project Euclid: 17 October 2012

Permanent link to this document
https://projecteuclid.org/euclid.jam/1350479391

Digital Object Identifier
doi:10.1155/2012/407409

Mathematical Reviews number (MathSciNet)
MR2904516

Zentralblatt MATH identifier
1244.93125

Citation

Sun, Duo-Qing; Sun, Zhu-Mei. Asymptotic Stability of the Golden-Section Control Law for Multi-Input and Multi-Output Linear Systems. J. Appl. Math. 2012 (2012), Article ID 407409, 11 pages. doi:10.1155/2012/407409. https://projecteuclid.org/euclid.jam/1350479391


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