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

Research output: Contribution to journal › Journal Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	2143-2151
Number of pages	9
Journal	International Journal of Systems Science
Volume	22
Issue number	11
DOIs	https://doi.org/10.1080/00207729108910778
State	Published - 11 1991
Externally published	Yes

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title = "Application of the persidskii theorem to non-linear system stabilization via dynamic output feedback",

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.",

author = "Hsiao, \{Feng Hsiag\} and Fann, \{Shiow Liann\} and Hsieh, \{Jer Guang\}",

year = "1991",

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doi = "10.1080/00207729108910778",

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AU - Hsiao, Feng Hsiag

AU - Fann, Shiow Liann

AU - Hsieh, Jer Guang

PY - 1991/11

Y1 - 1991/11

N2 - 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.

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.

UR - https://www.scopus.com/pages/publications/0026254184

U2 - 10.1080/00207729108910778

DO - 10.1080/00207729108910778

M3 - 文章

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SN - 0020-7721

VL - 22

SP - 2143

EP - 2151

JO - International Journal of Systems Science

JF - International Journal of Systems Science

IS - 11

ER -

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

Abstract

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