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

Duo-Qing Sun and Zhu-Mei Sun

Journal of Applied Mathematics, 2012, vol. 2012, issue 1

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.

Date: 2012
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https://doi.org/10.1155/2012/407409

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2012:y:2012:i:1:n:407409

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