Construction of Delay Lyapunov Matrix for Integral Delay Systems

Reynaldo Ortiz, Sabine Mondie, Saul Del Valle, Alexey V. Egorov

Research output

Abstract

The construction of Lyapunov matrices for integral delay systems with constant and exponential kernel are presented. It is reduced to the solutions of a matrix delay free system subject to boundary conditions. The results are validated by testing known necessary stability conditions in terms of the Lyapunov matrix.

Original languageEnglish
Title of host publication2018 IEEE Conference on Decision and Control, CDC 2018
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages5439-5444
Number of pages6
ISBN (Electronic)9781538613955
DOIs
Publication statusPublished - 18 Jan 2019
Event57th IEEE Conference on Decision and Control, CDC 2018 - Miami
Duration: 17 Dec 201819 Dec 2018

Publication series

NameProceedings of the IEEE Conference on Decision and Control
Volume2018-December
ISSN (Print)0743-1546

Conference

Conference57th IEEE Conference on Decision and Control, CDC 2018
CountryUnited States
CityMiami
Period17/12/1819/12/18

Fingerprint

Delay Systems
Lyapunov
Stability Condition
Boundary conditions
kernel
Necessary Conditions
Testing

Scopus subject areas

  • Control and Systems Engineering
  • Modelling and Simulation
  • Control and Optimization

Cite this

Ortiz, R., Mondie, S., Del Valle, S., & Egorov, A. V. (2019). Construction of Delay Lyapunov Matrix for Integral Delay Systems. In 2018 IEEE Conference on Decision and Control, CDC 2018 (pp. 5439-5444). [8619695] (Proceedings of the IEEE Conference on Decision and Control; Vol. 2018-December). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2018.8619695
Ortiz, Reynaldo ; Mondie, Sabine ; Del Valle, Saul ; Egorov, Alexey V. / Construction of Delay Lyapunov Matrix for Integral Delay Systems. 2018 IEEE Conference on Decision and Control, CDC 2018. Institute of Electrical and Electronics Engineers Inc., 2019. pp. 5439-5444 (Proceedings of the IEEE Conference on Decision and Control).
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Ortiz, R, Mondie, S, Del Valle, S & Egorov, AV 2019, Construction of Delay Lyapunov Matrix for Integral Delay Systems. in 2018 IEEE Conference on Decision and Control, CDC 2018., 8619695, Proceedings of the IEEE Conference on Decision and Control, vol. 2018-December, Institute of Electrical and Electronics Engineers Inc., pp. 5439-5444, Miami, 17/12/18. https://doi.org/10.1109/CDC.2018.8619695

Construction of Delay Lyapunov Matrix for Integral Delay Systems. / Ortiz, Reynaldo; Mondie, Sabine; Del Valle, Saul; Egorov, Alexey V.

2018 IEEE Conference on Decision and Control, CDC 2018. Institute of Electrical and Electronics Engineers Inc., 2019. p. 5439-5444 8619695 (Proceedings of the IEEE Conference on Decision and Control; Vol. 2018-December).

Research output

TY - GEN

T1 - Construction of Delay Lyapunov Matrix for Integral Delay Systems

AU - Ortiz, Reynaldo

AU - Mondie, Sabine

AU - Del Valle, Saul

AU - Egorov, Alexey V.

PY - 2019/1/18

Y1 - 2019/1/18

N2 - The construction of Lyapunov matrices for integral delay systems with constant and exponential kernel are presented. It is reduced to the solutions of a matrix delay free system subject to boundary conditions. The results are validated by testing known necessary stability conditions in terms of the Lyapunov matrix.

AB - The construction of Lyapunov matrices for integral delay systems with constant and exponential kernel are presented. It is reduced to the solutions of a matrix delay free system subject to boundary conditions. The results are validated by testing known necessary stability conditions in terms of the Lyapunov matrix.

UR - http://www.scopus.com/inward/record.url?scp=85062181617&partnerID=8YFLogxK

U2 - 10.1109/CDC.2018.8619695

DO - 10.1109/CDC.2018.8619695

M3 - Conference contribution

AN - SCOPUS:85062181617

T3 - Proceedings of the IEEE Conference on Decision and Control

SP - 5439

EP - 5444

BT - 2018 IEEE Conference on Decision and Control, CDC 2018

PB - Institute of Electrical and Electronics Engineers Inc.

ER -

Ortiz R, Mondie S, Del Valle S, Egorov AV. Construction of Delay Lyapunov Matrix for Integral Delay Systems. In 2018 IEEE Conference on Decision and Control, CDC 2018. Institute of Electrical and Electronics Engineers Inc. 2019. p. 5439-5444. 8619695. (Proceedings of the IEEE Conference on Decision and Control). https://doi.org/10.1109/CDC.2018.8619695