New Finite-time Stability and Boundedness Conditions for Time-Delay Switched Linear Systems with Finite-Time Unstable and Unbounded Subsystems

Shabnam Pashaei; Farzad Hashemzadeh

doi:10.1109/IranianCEE.2019.8786408

New Finite-time Stability and Boundedness Conditions for Time-Delay Switched Linear Systems with Finite-Time Unstable and Unbounded Subsystems

Shabnam Pashaei, Farzad Hashemzadeh

University of Tabriz

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

2 Citations (Scopus)

Abstract

In this paper, finite-time stability and finite-time boundedness of a class of switched delay systems with subsystems which are not finite-time stable and finite-time bounded is investigated. Based on Lyapunov-Krasovskii functional technique and the average dwell time approach new delay-dependent criteria which guarantee finite-time stability and finite-time boundedness of time-delay switched linear systems is proposed. In other words, the obtained necessary and sufficient conditions guarantee finite-time stability and finite-time boundedness of linear switched delay systems while some subsystems are not finite-time stable and finite-time bounded. Finally, simulation results are provided to show the effectiveness of the proposed method. The numerical results illustrate the effect of switching signals and the total dwell time of finite-time unstable and finite-time unbounded subsystems on finite-time stability and finite-time boundedness of time-delay switched linear systems.

Original language	English
Title of host publication	ICEE 2019 - 27th Iranian Conference on Electrical Engineering
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	891-897
Number of pages	7
ISBN (Electronic)	9781728115085
DOIs	https://doi.org/10.1109/IranianCEE.2019.8786408
Publication status	Published - Apr 2019
Externally published	Yes
Event	27th Iranian Conference on Electrical Engineering, ICEE 2019 - Yazd, Iran, Islamic Republic of Duration: 30 Apr 2019 → 2 May 2019

Publication series

Name	ICEE 2019 - 27th Iranian Conference on Electrical Engineering

Conference

Conference	27th Iranian Conference on Electrical Engineering, ICEE 2019
Country/Territory	Iran, Islamic Republic of
City	Yazd
Period	30/04/19 → 2/05/19

Bibliographical note

Publisher Copyright:
© 2019 IEEE.

Keywords

Average dwell time
Finite-time unstable and finite-time unbounded subsystems
Time-delay switched linear systems

Access to Document

10.1109/IranianCEE.2019.8786408

Cite this

Pashaei, S., & Hashemzadeh, F. (2019). New Finite-time Stability and Boundedness Conditions for Time-Delay Switched Linear Systems with Finite-Time Unstable and Unbounded Subsystems. In ICEE 2019 - 27th Iranian Conference on Electrical Engineering (pp. 891-897). Article 8786408 (ICEE 2019 - 27th Iranian Conference on Electrical Engineering). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/IranianCEE.2019.8786408

Pashaei, Shabnam ; Hashemzadeh, Farzad. / New Finite-time Stability and Boundedness Conditions for Time-Delay Switched Linear Systems with Finite-Time Unstable and Unbounded Subsystems. ICEE 2019 - 27th Iranian Conference on Electrical Engineering. Institute of Electrical and Electronics Engineers Inc., 2019. pp. 891-897 (ICEE 2019 - 27th Iranian Conference on Electrical Engineering).

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title = "New Finite-time Stability and Boundedness Conditions for Time-Delay Switched Linear Systems with Finite-Time Unstable and Unbounded Subsystems",

abstract = "In this paper, finite-time stability and finite-time boundedness of a class of switched delay systems with subsystems which are not finite-time stable and finite-time bounded is investigated. Based on Lyapunov-Krasovskii functional technique and the average dwell time approach new delay-dependent criteria which guarantee finite-time stability and finite-time boundedness of time-delay switched linear systems is proposed. In other words, the obtained necessary and sufficient conditions guarantee finite-time stability and finite-time boundedness of linear switched delay systems while some subsystems are not finite-time stable and finite-time bounded. Finally, simulation results are provided to show the effectiveness of the proposed method. The numerical results illustrate the effect of switching signals and the total dwell time of finite-time unstable and finite-time unbounded subsystems on finite-time stability and finite-time boundedness of time-delay switched linear systems.",

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year = "2019",

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doi = "10.1109/IranianCEE.2019.8786408",

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Pashaei, S & Hashemzadeh, F 2019, New Finite-time Stability and Boundedness Conditions for Time-Delay Switched Linear Systems with Finite-Time Unstable and Unbounded Subsystems. in ICEE 2019 - 27th Iranian Conference on Electrical Engineering., 8786408, ICEE 2019 - 27th Iranian Conference on Electrical Engineering, Institute of Electrical and Electronics Engineers Inc., pp. 891-897, 27th Iranian Conference on Electrical Engineering, ICEE 2019, Yazd, Iran, Islamic Republic of, 30/04/19. https://doi.org/10.1109/IranianCEE.2019.8786408

New Finite-time Stability and Boundedness Conditions for Time-Delay Switched Linear Systems with Finite-Time Unstable and Unbounded Subsystems. / Pashaei, Shabnam; Hashemzadeh, Farzad.
ICEE 2019 - 27th Iranian Conference on Electrical Engineering. Institute of Electrical and Electronics Engineers Inc., 2019. p. 891-897 8786408 (ICEE 2019 - 27th Iranian Conference on Electrical Engineering).

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

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N2 - In this paper, finite-time stability and finite-time boundedness of a class of switched delay systems with subsystems which are not finite-time stable and finite-time bounded is investigated. Based on Lyapunov-Krasovskii functional technique and the average dwell time approach new delay-dependent criteria which guarantee finite-time stability and finite-time boundedness of time-delay switched linear systems is proposed. In other words, the obtained necessary and sufficient conditions guarantee finite-time stability and finite-time boundedness of linear switched delay systems while some subsystems are not finite-time stable and finite-time bounded. Finally, simulation results are provided to show the effectiveness of the proposed method. The numerical results illustrate the effect of switching signals and the total dwell time of finite-time unstable and finite-time unbounded subsystems on finite-time stability and finite-time boundedness of time-delay switched linear systems.

AB - In this paper, finite-time stability and finite-time boundedness of a class of switched delay systems with subsystems which are not finite-time stable and finite-time bounded is investigated. Based on Lyapunov-Krasovskii functional technique and the average dwell time approach new delay-dependent criteria which guarantee finite-time stability and finite-time boundedness of time-delay switched linear systems is proposed. In other words, the obtained necessary and sufficient conditions guarantee finite-time stability and finite-time boundedness of linear switched delay systems while some subsystems are not finite-time stable and finite-time bounded. Finally, simulation results are provided to show the effectiveness of the proposed method. The numerical results illustrate the effect of switching signals and the total dwell time of finite-time unstable and finite-time unbounded subsystems on finite-time stability and finite-time boundedness of time-delay switched linear systems.

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Pashaei S, Hashemzadeh F. New Finite-time Stability and Boundedness Conditions for Time-Delay Switched Linear Systems with Finite-Time Unstable and Unbounded Subsystems. In ICEE 2019 - 27th Iranian Conference on Electrical Engineering. Institute of Electrical and Electronics Engineers Inc. 2019. p. 891-897. 8786408. (ICEE 2019 - 27th Iranian Conference on Electrical Engineering). doi: 10.1109/IranianCEE.2019.8786408

New Finite-time Stability and Boundedness Conditions for Time-Delay Switched Linear Systems with Finite-Time Unstable and Unbounded Subsystems

Abstract

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Bibliographical note

Keywords

Access to Document

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Cite this