On small-controllability and near-reachability of a class of discrete-time bilinear systems

Lin Tie

doi:10.1109/ECC.2016.7810396

On small-controllability and near-reachability of a class of discrete-time bilinear systems

Lin Tie^*

^*Corresponding author for this work

School of Automation Science and Electrical Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

3 Scopus citations

Abstract

Small-controllable systems are controllable under arbitrarily small control inputs. In this paper, small-controllability of a class of discrete-time bilinear systems is studied. A necessary and sufficient condition for the systems to be small-controllable is presented. Furthermore, a new notion, defined as near-reachability, is introduced to describe the systems when they are uncontrollable but own a strong reachability property, and a necessary and sufficient condition for the systems to be nearly-reachable is also obtained. Finally, examples are given to illustrate the results of this paper.

Original language	English
Title of host publication	2016 European Control Conference, ECC 2016
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	855-860
Number of pages	6
ISBN (Electronic)	9781509025916
DOIs	https://doi.org/10.1109/ECC.2016.7810396
State	Published - 2016
Event	2016 European Control Conference, ECC 2016 - Aalborg, Denmark Duration: 29 Jun 2016 → 1 Jul 2016

Publication series

Name	2016 European Control Conference, ECC 2016

Conference

Conference	2016 European Control Conference, ECC 2016
Country/Territory	Denmark
City	Aalborg
Period	29/06/16 → 1/07/16

Access to Document

10.1109/ECC.2016.7810396

Cite this

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title = "On small-controllability and near-reachability of a class of discrete-time bilinear systems",

abstract = "Small-controllable systems are controllable under arbitrarily small control inputs. In this paper, small-controllability of a class of discrete-time bilinear systems is studied. A necessary and sufficient condition for the systems to be small-controllable is presented. Furthermore, a new notion, defined as near-reachability, is introduced to describe the systems when they are uncontrollable but own a strong reachability property, and a necessary and sufficient condition for the systems to be nearly-reachable is also obtained. Finally, examples are given to illustrate the results of this paper.",

author = "Lin Tie",

note = "Publisher Copyright: {\textcopyright} 2016 EUCA.; 2016 European Control Conference, ECC 2016 ; Conference date: 29-06-2016 Through 01-07-2016",

year = "2016",

doi = "10.1109/ECC.2016.7810396",

language = "英语",

series = "2016 European Control Conference, ECC 2016",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "855--860",

booktitle = "2016 European Control Conference, ECC 2016",

address = "美国",

}

Tie, L 2016, On small-controllability and near-reachability of a class of discrete-time bilinear systems. in 2016 European Control Conference, ECC 2016., 7810396, 2016 European Control Conference, ECC 2016, Institute of Electrical and Electronics Engineers Inc., pp. 855-860, 2016 European Control Conference, ECC 2016, Aalborg, Denmark, 29/06/16. https://doi.org/10.1109/ECC.2016.7810396

On small-controllability and near-reachability of a class of discrete-time bilinear systems. / Tie, Lin.
2016 European Control Conference, ECC 2016. Institute of Electrical and Electronics Engineers Inc., 2016. p. 855-860 7810396 (2016 European Control Conference, ECC 2016).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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PY - 2016

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N2 - Small-controllable systems are controllable under arbitrarily small control inputs. In this paper, small-controllability of a class of discrete-time bilinear systems is studied. A necessary and sufficient condition for the systems to be small-controllable is presented. Furthermore, a new notion, defined as near-reachability, is introduced to describe the systems when they are uncontrollable but own a strong reachability property, and a necessary and sufficient condition for the systems to be nearly-reachable is also obtained. Finally, examples are given to illustrate the results of this paper.

AB - Small-controllable systems are controllable under arbitrarily small control inputs. In this paper, small-controllability of a class of discrete-time bilinear systems is studied. A necessary and sufficient condition for the systems to be small-controllable is presented. Furthermore, a new notion, defined as near-reachability, is introduced to describe the systems when they are uncontrollable but own a strong reachability property, and a necessary and sufficient condition for the systems to be nearly-reachable is also obtained. Finally, examples are given to illustrate the results of this paper.

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T3 - 2016 European Control Conference, ECC 2016

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BT - 2016 European Control Conference, ECC 2016

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2016 European Control Conference, ECC 2016

Y2 - 29 June 2016 through 1 July 2016

ER -

On small-controllability and near-reachability of a class of discrete-time bilinear systems

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