Finite-time boundedness and stabilization of discrete-time nonlinear quadratic systems

Yunliang Wei; Wei Xing Zheng

doi:10.1109/AUCC.2013.6697265

Finite-time boundedness and stabilization of discrete-time nonlinear quadratic systems

Yunliang Wei, Wei Xing Zheng

School of Computer, Data & Mathematical Sciences

Research output: Chapter in Book / Conference Paper › Conference Paper › peer-review

2 Citations (Scopus)

Abstract

This paper deals with the problems of finite time boundedness and stabilization for discrete-time nonlinear quadratic systems. Some sufficient conditions are derived, under which the finite-time boundedness of nonlinear quadratic systems is guaranteed. By using a similar method, the finite time stability for discrete-time nonlinear quadratic systems is also established as a corollary. Moreover, to solve the finite-time stabilization problem, a stabilizing state feedback controller is designed. A simulation example is provided to illustrate the efficiency of the proposed technique.

Original language	English
Title of host publication	Proceedings of the 2013 3rd Australian Control Conference (AUCC2013): 4-5 November 2013, Fremantle, Australia
Publisher	IEEE
Pages	158-163
Number of pages	6
ISBN (Print)	9781479924974
DOIs	https://doi.org/10.1109/AUCC.2013.6697265
Publication status	Published - 2013
Event	Australian Control Conference - Duration: 4 Nov 2013 → …

Conference

Conference	Australian Control Conference
Period	4/11/13 → …

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10.1109/AUCC.2013.6697265

Cite this

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title = "Finite-time boundedness and stabilization of discrete-time nonlinear quadratic systems",

abstract = "This paper deals with the problems of finite time boundedness and stabilization for discrete-time nonlinear quadratic systems. Some sufficient conditions are derived, under which the finite-time boundedness of nonlinear quadratic systems is guaranteed. By using a similar method, the finite time stability for discrete-time nonlinear quadratic systems is also established as a corollary. Moreover, to solve the finite-time stabilization problem, a stabilizing state feedback controller is designed. A simulation example is provided to illustrate the efficiency of the proposed technique.",

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AB - This paper deals with the problems of finite time boundedness and stabilization for discrete-time nonlinear quadratic systems. Some sufficient conditions are derived, under which the finite-time boundedness of nonlinear quadratic systems is guaranteed. By using a similar method, the finite time stability for discrete-time nonlinear quadratic systems is also established as a corollary. Moreover, to solve the finite-time stabilization problem, a stabilizing state feedback controller is designed. A simulation example is provided to illustrate the efficiency of the proposed technique.

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UR - http://www.aucc.org.au/AUCC2013/Home.html

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ER -

Finite-time boundedness and stabilization of discrete-time nonlinear quadratic systems

Abstract

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