On controllability of discrete-time bilinear systems

Lin Tie; Kai Yuan Cai; Yan Lin

doi:10.1016/j.jfranklin.2011.03.003

On controllability of discrete-time bilinear systems

Lin Tie^*
, Kai Yuan Cai
, Yan Lin

^*Corresponding author for this work

School of Automation Science and Electrical Engineering

Beihang University

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

23 Scopus citations

Abstract

In this paper, necessary and sufficient conditions for the controllability of a class of discrete-time bilinear systems are proposed, which extend the existing results and show that the controllability counterexample in [1] that is derived by Euler discretization of an uncontrollable bilinear system, is a special case of the necessary and sufficient conditions.

Original language	English
Pages (from-to)	933-940
Number of pages	8
Journal	Journal of the Franklin Institute
Volume	348
Issue number	5
DOIs	https://doi.org/10.1016/j.jfranklin.2011.03.003
State	Published - Jun 2011

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10.1016/j.jfranklin.2011.03.003

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title = "On controllability of discrete-time bilinear systems",

abstract = "In this paper, necessary and sufficient conditions for the controllability of a class of discrete-time bilinear systems are proposed, which extend the existing results and show that the controllability counterexample in [1] that is derived by Euler discretization of an uncontrollable bilinear system, is a special case of the necessary and sufficient conditions.",

author = "Lin Tie and Cai, \{Kai Yuan\} and Yan Lin",

year = "2011",

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AU - Tie, Lin

AU - Cai, Kai Yuan

AU - Lin, Yan

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N2 - In this paper, necessary and sufficient conditions for the controllability of a class of discrete-time bilinear systems are proposed, which extend the existing results and show that the controllability counterexample in [1] that is derived by Euler discretization of an uncontrollable bilinear system, is a special case of the necessary and sufficient conditions.

AB - In this paper, necessary and sufficient conditions for the controllability of a class of discrete-time bilinear systems are proposed, which extend the existing results and show that the controllability counterexample in [1] that is derived by Euler discretization of an uncontrollable bilinear system, is a special case of the necessary and sufficient conditions.

UR - https://www.scopus.com/pages/publications/79955560943

U2 - 10.1016/j.jfranklin.2011.03.003

DO - 10.1016/j.jfranklin.2011.03.003

M3 - 文章

AN - SCOPUS:79955560943

SN - 0016-0032

VL - 348

SP - 933

EP - 940

JO - Journal of the Franklin Institute

JF - Journal of the Franklin Institute

IS - 5

ER -

On controllability of discrete-time bilinear systems

Abstract

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