On hyper exponential stabilization of linear state-delay systems

Andrey Polyakov; Denis Efimov; Emilia Fridman; Wilfrid Perruquetti; Jean Pierre Richard

doi:10.1109/CDC.2017.8264296

On hyper exponential stabilization of linear state-delay systems

Andrey Polyakov, Denis Efimov, Emilia Fridman, Wilfrid Perruquetti, Jean Pierre Richard

School of Electrical Engineering

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

Abstract

A control design algorithm for hyper exponential stabilization of multi-input multi-output linear control system with state-delays is presented based on method of Implicit Lyapunov-Krasovskii Functional (ILKF). The procedure of control parameters tuning is formalized by means of Linear Matrix Inequalities (LMIs). The theoretical results are supported with numerical simulations.

Original language	English
Title of host publication	2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	4321-4326
Number of pages	6
ISBN (Electronic)	9781509028733
DOIs	https://doi.org/10.1109/CDC.2017.8264296
State	Published - 18 Jan 2018
Event	56th IEEE Annual Conference on Decision and Control, CDC 2017 - Melbourne, Australia Duration: 12 Dec 2017 → 15 Dec 2017

Publication series

Name	2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017
Volume	2018-January

Conference

Conference	56th IEEE Annual Conference on Decision and Control, CDC 2017
Country/Territory	Australia
City	Melbourne
Period	12/12/17 → 15/12/17

Access to Document

10.1109/CDC.2017.8264296

Cite this

Polyakov, A., Efimov, D., Fridman, E., Perruquetti, W., & Richard, J. P. (2018). On hyper exponential stabilization of linear state-delay systems. In 2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017 (pp. 4321-4326). (2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017; Vol. 2018-January). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2017.8264296

@inproceedings{cc502a14fe204a62a8d93a86aa2877f4,

title = "On hyper exponential stabilization of linear state-delay systems",

abstract = "A control design algorithm for hyper exponential stabilization of multi-input multi-output linear control system with state-delays is presented based on method of Implicit Lyapunov-Krasovskii Functional (ILKF). The procedure of control parameters tuning is formalized by means of Linear Matrix Inequalities (LMIs). The theoretical results are supported with numerical simulations.",

author = "Andrey Polyakov and Denis Efimov and Emilia Fridman and Wilfrid Perruquetti and Richard, {Jean Pierre}",

note = "Publisher Copyright: {\textcopyright} 2017 IEEE.; null ; Conference date: 12-12-2017 Through 15-12-2017",

year = "2018",

month = jan,

day = "18",

doi = "10.1109/CDC.2017.8264296",

language = "אנגלית",

series = "2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017",

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

pages = "4321--4326",

booktitle = "2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017",

address = "ארצות הברית",

}

Polyakov, A, Efimov, D, Fridman, E, Perruquetti, W & Richard, JP 2018, On hyper exponential stabilization of linear state-delay systems. in 2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017. 2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017, vol. 2018-January, Institute of Electrical and Electronics Engineers Inc., pp. 4321-4326, 56th IEEE Annual Conference on Decision and Control, CDC 2017, Melbourne, Australia, 12/12/17. https://doi.org/10.1109/CDC.2017.8264296

On hyper exponential stabilization of linear state-delay systems. / Polyakov, Andrey; Efimov, Denis; Fridman, Emilia et al.

2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017. Institute of Electrical and Electronics Engineers Inc., 2018. p. 4321-4326 (2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017; Vol. 2018-January).

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

TY - GEN

T1 - On hyper exponential stabilization of linear state-delay systems

AU - Polyakov, Andrey

AU - Efimov, Denis

AU - Fridman, Emilia

AU - Perruquetti, Wilfrid

AU - Richard, Jean Pierre

PY - 2018/1/18

Y1 - 2018/1/18

N2 - A control design algorithm for hyper exponential stabilization of multi-input multi-output linear control system with state-delays is presented based on method of Implicit Lyapunov-Krasovskii Functional (ILKF). The procedure of control parameters tuning is formalized by means of Linear Matrix Inequalities (LMIs). The theoretical results are supported with numerical simulations.

AB - A control design algorithm for hyper exponential stabilization of multi-input multi-output linear control system with state-delays is presented based on method of Implicit Lyapunov-Krasovskii Functional (ILKF). The procedure of control parameters tuning is formalized by means of Linear Matrix Inequalities (LMIs). The theoretical results are supported with numerical simulations.

UR - http://www.scopus.com/inward/record.url?scp=85046277493&partnerID=8YFLogxK

U2 - 10.1109/CDC.2017.8264296

DO - 10.1109/CDC.2017.8264296

M3 - פרסום בספר כנס

AN - SCOPUS:85046277493

T3 - 2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017

SP - 4321

EP - 4326

BT - 2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017

PB - Institute of Electrical and Electronics Engineers Inc.

Y2 - 12 December 2017 through 15 December 2017

ER -

Polyakov A, Efimov D, Fridman E, Perruquetti W, Richard JP. On hyper exponential stabilization of linear state-delay systems. In 2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017. Institute of Electrical and Electronics Engineers Inc. 2018. p. 4321-4326. (2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017). doi: 10.1109/CDC.2017.8264296

On hyper exponential stabilization of linear state-delay systems

Abstract

Publication series

Conference

Access to Document

Other files and links

Fingerprint

Cite this