Standard

Polyhedral estimation of the controllability region of a nonlinear system. / Ponomarev, Anton.

2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings. Institute of Electrical and Electronics Engineers Inc., 2017. 7974007.

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

Harvard

Ponomarev, A 2017, Polyhedral estimation of the controllability region of a nonlinear system. in 2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings., 7974007, Institute of Electrical and Electronics Engineers Inc., 2017 Constructive Nonsmooth Analysis and Related Topics, Saint-Petersburg, Russian Federation, 22/05/17. https://doi.org/10.1109/CNSA.2017.7974007

APA

Ponomarev, A. (2017). Polyhedral estimation of the controllability region of a nonlinear system. In 2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings [7974007] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CNSA.2017.7974007

Vancouver

Ponomarev A. Polyhedral estimation of the controllability region of a nonlinear system. In 2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings. Institute of Electrical and Electronics Engineers Inc. 2017. 7974007 https://doi.org/10.1109/CNSA.2017.7974007

Author

Ponomarev, Anton. / Polyhedral estimation of the controllability region of a nonlinear system. 2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings. Institute of Electrical and Electronics Engineers Inc., 2017.

BibTeX

@inproceedings{15ba800e9efe4ad89ee028b7b549315a,
title = "Polyhedral estimation of the controllability region of a nonlinear system",
abstract = "We consider nonlinear discrete-time control system with linearizable right-hand side and state and control constraints. The problem is to estimate the finite-time controllability region of the system, i. e., the set of initial states for which there is an admissible control sequence such that it moves the system from the initial point to the predefined terminal region in a given number of steps. An algorithm to estimate the controllability region is proposed. It is based on the property of linearizable systems to map a small polyhedron into approximately a polyhedron. The algorithm estimates the controllability region with prescribed accuracy by a union of polyhedra.",
author = "Anton Ponomarev",
year = "2017",
month = jul,
day = "10",
doi = "10.1109/CNSA.2017.7974007",
language = "English",
booktitle = "2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
address = "United States",
note = "2017 Constructive Nonsmooth Analysis and Related Topics : dedicated to the Memory of V.F. Demyanov, CNSA 2017 ; Conference date: 22-05-2017 Through 27-05-2017",
url = "http://www.mathnet.ru/php/conference.phtml?confid=968&option_lang=rus, http://www.pdmi.ras.ru/EIMI/2017/CNSA/",

}

RIS

TY - GEN

T1 - Polyhedral estimation of the controllability region of a nonlinear system

AU - Ponomarev, Anton

PY - 2017/7/10

Y1 - 2017/7/10

N2 - We consider nonlinear discrete-time control system with linearizable right-hand side and state and control constraints. The problem is to estimate the finite-time controllability region of the system, i. e., the set of initial states for which there is an admissible control sequence such that it moves the system from the initial point to the predefined terminal region in a given number of steps. An algorithm to estimate the controllability region is proposed. It is based on the property of linearizable systems to map a small polyhedron into approximately a polyhedron. The algorithm estimates the controllability region with prescribed accuracy by a union of polyhedra.

AB - We consider nonlinear discrete-time control system with linearizable right-hand side and state and control constraints. The problem is to estimate the finite-time controllability region of the system, i. e., the set of initial states for which there is an admissible control sequence such that it moves the system from the initial point to the predefined terminal region in a given number of steps. An algorithm to estimate the controllability region is proposed. It is based on the property of linearizable systems to map a small polyhedron into approximately a polyhedron. The algorithm estimates the controllability region with prescribed accuracy by a union of polyhedra.

UR - http://www.scopus.com/inward/record.url?scp=85027461994&partnerID=8YFLogxK

U2 - 10.1109/CNSA.2017.7974007

DO - 10.1109/CNSA.2017.7974007

M3 - Conference contribution

AN - SCOPUS:85027461994

BT - 2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2017 Constructive Nonsmooth Analysis and Related Topics

Y2 - 22 May 2017 through 27 May 2017

ER -

ID: 9709171