Application of the persidskii theorem to non-linear system stabilization via dynamic output feedback

Feng Hsiag Hsiao; Shiow Liann Fann; Jer Guang Hsieh

doi:10.1080/00207729108910778

Application of the persidskii theorem to non-linear system stabilization via dynamic output feedback

Feng Hsiag Hsiao
, Shiow Liann Fann
, Jer Guang Hsieh

Yuan Ze University
National Sun Yat-sen University

研究成果: 期刊稿件 › 文章 › 同行評審

摘要

We consider the stabilization problem in the sense of Lyapunov of a class of ‘k-bounded’ non-linear systems via dynamic output feedback, where the non-linearities of the systems are not necessarily continuously differentiable but satisfy ‘k-bounded’ conditions. The factorization theory of linear systems and the quasi-stability result of Persidskii are combined to provide such a dynamic output feedback scheme.

原文	英語
頁（從 - 到）	2143-2151
頁數	9
期刊	International Journal of Systems Science
卷	22
發行號	11
DOIs	https://doi.org/10.1080/00207729108910778
出版狀態	已出版 - 11 1991
對外發佈	是

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abstract = "We consider the stabilization problem in the sense of Lyapunov of a class of {\textquoteleft}k-bounded{\textquoteright} non-linear systems via dynamic output feedback, where the non-linearities of the systems are not necessarily continuously differentiable but satisfy {\textquoteleft}k-bounded{\textquoteright} conditions. The factorization theory of linear systems and the quasi-stability result of Persidskii are combined to provide such a dynamic output feedback scheme.",

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AB - We consider the stabilization problem in the sense of Lyapunov of a class of ‘k-bounded’ non-linear systems via dynamic output feedback, where the non-linearities of the systems are not necessarily continuously differentiable but satisfy ‘k-bounded’ conditions. The factorization theory of linear systems and the quasi-stability result of Persidskii are combined to provide such a dynamic output feedback scheme.

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Application of the persidskii theorem to non-linear system stabilization via dynamic output feedback

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