Stability analysis of the interval systems based on linear matrix inequalities

Navid Razmjooy; Mehdi Ramezani; Vânia Vieira Estrela; Hermes José Loschi; Douglas Aguiar do Nascimento

doi:10.1007/978-3-030-16053-1_36

Stability analysis of the interval systems based on linear matrix inequalities

Navid Razmjooy^*, Mehdi Ramezani, Vânia Vieira Estrela, Hermes José Loschi, Douglas Aguiar do Nascimento

^*Corresponding author for this work

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

9 Citations (Scopus)

Abstract

Positive definiteness and Hurwitz stability of the interval systems are discussed. A linear matrix inequality representation is introduced to simplify the analysis of the interval system. First, it is shown that the interval matrix can be stable if it has 2 conditions. Afterward, they converted to linear matrix inequalities for simplifying the conditions solution. A Lyapunov function is introduced to prove the new representation based on linear matrix inequalities.

Original language	English
Title of host publication	Proceedings of the 4th Brazilian Technology Symposium (BTSym’18) - Emerging Trends and Challenges in Technology
Editors	Yuzo Iano, Hermes José Loschi, Rangel Arthur, Osamu Saotome, Vânia Vieira Estrela
Publisher	Springer
Pages	371-378
Number of pages	8
ISBN (Print)	9783030160524
DOIs	https://doi.org/10.1007/978-3-030-16053-1_36
Publication status	Published - 2019
Externally published	Yes
Event	4th Brazilian Technology Symposium, BTSym 2018 - Campinas, Brazil Duration: 23 Oct 2018 → 25 Oct 2018 Conference number: 4

Publication series

Name	Smart Innovation, Systems and Technologies
Volume	140
ISSN (Print)	2190-3018
ISSN (Electronic)	2190-3026

Conference

Conference	4th Brazilian Technology Symposium, BTSym 2018
Abbreviated title	BTSym 2018
Country/Territory	Brazil
City	Campinas
Period	23/10/18 → 25/10/18

Keywords

Interval analysis
Kharitonov stability
Linear matrix inequality
Lyapunov stability
Stability analysis

Access to Document

10.1007/978-3-030-16053-1_36

Cite this

Razmjooy, N., Ramezani, M., Vieira Estrela, V., Loschi, H. J., & do Nascimento, D. A. (2019). Stability analysis of the interval systems based on linear matrix inequalities. In Y. Iano, H. J. Loschi, R. Arthur, O. Saotome, & V. Vieira Estrela (Eds.), Proceedings of the 4th Brazilian Technology Symposium (BTSym’18) - Emerging Trends and Challenges in Technology (pp. 371-378). (Smart Innovation, Systems and Technologies; Vol. 140). Springer. https://doi.org/10.1007/978-3-030-16053-1_36

Razmjooy, Navid ; Ramezani, Mehdi ; Vieira Estrela, Vânia et al. / Stability analysis of the interval systems based on linear matrix inequalities. Proceedings of the 4th Brazilian Technology Symposium (BTSym’18) - Emerging Trends and Challenges in Technology. editor / Yuzo Iano ; Hermes José Loschi ; Rangel Arthur ; Osamu Saotome ; Vânia Vieira Estrela. Springer, 2019. pp. 371-378 (Smart Innovation, Systems and Technologies).

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title = "Stability analysis of the interval systems based on linear matrix inequalities",

abstract = "Positive definiteness and Hurwitz stability of the interval systems are discussed. A linear matrix inequality representation is introduced to simplify the analysis of the interval system. First, it is shown that the interval matrix can be stable if it has 2 conditions. Afterward, they converted to linear matrix inequalities for simplifying the conditions solution. A Lyapunov function is introduced to prove the new representation based on linear matrix inequalities.",

keywords = "Interval analysis, Kharitonov stability, Linear matrix inequality, Lyapunov stability, Stability analysis",

author = "Navid Razmjooy and Mehdi Ramezani and {Vieira Estrela}, V{\^a}nia and Loschi, {Hermes Jos{\'e}} and {do Nascimento}, {Douglas Aguiar}",

year = "2019",

doi = "10.1007/978-3-030-16053-1_36",

language = "English",

isbn = "9783030160524",

series = "Smart Innovation, Systems and Technologies",

publisher = "Springer",

pages = "371--378",

editor = "Yuzo Iano and Loschi, {Hermes Jos{\'e}} and Rangel Arthur and Osamu Saotome and {Vieira Estrela}, V{\^a}nia",

booktitle = "Proceedings of the 4th Brazilian Technology Symposium (BTSym{\textquoteright}18) - Emerging Trends and Challenges in Technology",

address = "Germany",

note = "4th Brazilian Technology Symposium, BTSym 2018, BTSym 2018 ; Conference date: 23-10-2018 Through 25-10-2018",

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Razmjooy, N, Ramezani, M, Vieira Estrela, V, Loschi, HJ & do Nascimento, DA 2019, Stability analysis of the interval systems based on linear matrix inequalities. in Y Iano, HJ Loschi, R Arthur, O Saotome & V Vieira Estrela (eds), Proceedings of the 4th Brazilian Technology Symposium (BTSym’18) - Emerging Trends and Challenges in Technology. Smart Innovation, Systems and Technologies, vol. 140, Springer, pp. 371-378, 4th Brazilian Technology Symposium, BTSym 2018, Campinas, Brazil, 23/10/18. https://doi.org/10.1007/978-3-030-16053-1_36

Stability analysis of the interval systems based on linear matrix inequalities. / Razmjooy, Navid; Ramezani, Mehdi; Vieira Estrela, Vânia et al.
Proceedings of the 4th Brazilian Technology Symposium (BTSym’18) - Emerging Trends and Challenges in Technology. ed. / Yuzo Iano; Hermes José Loschi; Rangel Arthur; Osamu Saotome; Vânia Vieira Estrela. Springer, 2019. p. 371-378 (Smart Innovation, Systems and Technologies; Vol. 140).

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

TY - GEN

T1 - Stability analysis of the interval systems based on linear matrix inequalities

AU - Razmjooy, Navid

AU - Ramezani, Mehdi

AU - Vieira Estrela, Vânia

AU - Loschi, Hermes José

AU - do Nascimento, Douglas Aguiar

N1 - Conference code: 4

PY - 2019

Y1 - 2019

N2 - Positive definiteness and Hurwitz stability of the interval systems are discussed. A linear matrix inequality representation is introduced to simplify the analysis of the interval system. First, it is shown that the interval matrix can be stable if it has 2 conditions. Afterward, they converted to linear matrix inequalities for simplifying the conditions solution. A Lyapunov function is introduced to prove the new representation based on linear matrix inequalities.

AB - Positive definiteness and Hurwitz stability of the interval systems are discussed. A linear matrix inequality representation is introduced to simplify the analysis of the interval system. First, it is shown that the interval matrix can be stable if it has 2 conditions. Afterward, they converted to linear matrix inequalities for simplifying the conditions solution. A Lyapunov function is introduced to prove the new representation based on linear matrix inequalities.

KW - Interval analysis

KW - Kharitonov stability

KW - Linear matrix inequality

KW - Lyapunov stability

KW - Stability analysis

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DO - 10.1007/978-3-030-16053-1_36

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A2 - Iano, Yuzo

A2 - Loschi, Hermes José

A2 - Arthur, Rangel

A2 - Saotome, Osamu

A2 - Vieira Estrela, Vânia

PB - Springer

T2 - 4th Brazilian Technology Symposium, BTSym 2018

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ER -

Razmjooy N, Ramezani M, Vieira Estrela V, Loschi HJ, do Nascimento DA. Stability analysis of the interval systems based on linear matrix inequalities. In Iano Y, Loschi HJ, Arthur R, Saotome O, Vieira Estrela V, editors, Proceedings of the 4th Brazilian Technology Symposium (BTSym’18) - Emerging Trends and Challenges in Technology. Springer. 2019. p. 371-378. (Smart Innovation, Systems and Technologies). doi: 10.1007/978-3-030-16053-1_36

Stability analysis of the interval systems based on linear matrix inequalities

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Keywords

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