Stability analysis of a type of nonlinear time-delay control systems

Zhong Yan Li; Shu Li Guo

doi:10.1109/ICMLC.2006.258527

Stability analysis of a type of nonlinear time-delay control systems

Zhong Yan Li^*, Shu Li Guo

^*Corresponding author for this work

School of Automation

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

1 Citation (Scopus)

Abstract

The time delay of Lurie nonlinear systems, in which the origin of the nonlinear systems is the absolute stability, is estimated by using a Liapunov-Razumikhn function. Two sufficient conditions are obtained about absolutely stable criteria of nonlinear systems. A numerical example illustrates the effectiveness of the presented algorithm. We find that the key problem is how to choose τ, The value of τ depends on the set D that relates to Liapunov matrix Q. So the optimization (Q_best,τ_max) is our objective. By using computer aided tools and Liapunov matrix equations, we can obtain the optimization τ.

Original language	English
Title of host publication	Proceedings of the 2006 International Conference on Machine Learning and Cybernetics
Pages	978-982
Number of pages	5
DOIs	https://doi.org/10.1109/ICMLC.2006.258527
Publication status	Published - 2006
Event	2006 International Conference on Machine Learning and Cybernetics - Dalian, China Duration: 13 Aug 2006 → 16 Aug 2006

Publication series

Name	Proceedings of the 2006 International Conference on Machine Learning and Cybernetics
Volume	2006

Conference

Conference	2006 International Conference on Machine Learning and Cybernetics
Country/Territory	China
City	Dalian
Period	13/08/06 → 16/08/06

Keywords

Bounded time-delay
Feedback input
Liapunov functional
Nonlinear system
Stability

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10.1109/ICMLC.2006.258527

Cite this

Li, Z. Y., & Guo, S. L. (2006). Stability analysis of a type of nonlinear time-delay control systems. In Proceedings of the 2006 International Conference on Machine Learning and Cybernetics (pp. 978-982). Article 4028205 (Proceedings of the 2006 International Conference on Machine Learning and Cybernetics; Vol. 2006). https://doi.org/10.1109/ICMLC.2006.258527

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title = "Stability analysis of a type of nonlinear time-delay control systems",

abstract = "The time delay of Lurie nonlinear systems, in which the origin of the nonlinear systems is the absolute stability, is estimated by using a Liapunov-Razumikhn function. Two sufficient conditions are obtained about absolutely stable criteria of nonlinear systems. A numerical example illustrates the effectiveness of the presented algorithm. We find that the key problem is how to choose τ, The value of τ depends on the set D that relates to Liapunov matrix Q. So the optimization (Qbest,τmax) is our objective. By using computer aided tools and Liapunov matrix equations, we can obtain the optimization τ.",

keywords = "Bounded time-delay, Feedback input, Liapunov functional, Nonlinear system, Stability",

author = "Li, {Zhong Yan} and Guo, {Shu Li}",

year = "2006",

doi = "10.1109/ICMLC.2006.258527",

language = "English",

isbn = "1424400619",

series = "Proceedings of the 2006 International Conference on Machine Learning and Cybernetics",

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note = "2006 International Conference on Machine Learning and Cybernetics ; Conference date: 13-08-2006 Through 16-08-2006",

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Li, ZY & Guo, SL 2006, Stability analysis of a type of nonlinear time-delay control systems. in Proceedings of the 2006 International Conference on Machine Learning and Cybernetics., 4028205, Proceedings of the 2006 International Conference on Machine Learning and Cybernetics, vol. 2006, pp. 978-982, 2006 International Conference on Machine Learning and Cybernetics, Dalian, China, 13/08/06. https://doi.org/10.1109/ICMLC.2006.258527

Stability analysis of a type of nonlinear time-delay control systems. / Li, Zhong Yan; Guo, Shu Li.
Proceedings of the 2006 International Conference on Machine Learning and Cybernetics. 2006. p. 978-982 4028205 (Proceedings of the 2006 International Conference on Machine Learning and Cybernetics; Vol. 2006).

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

TY - GEN

T1 - Stability analysis of a type of nonlinear time-delay control systems

AU - Li, Zhong Yan

AU - Guo, Shu Li

PY - 2006

Y1 - 2006

N2 - The time delay of Lurie nonlinear systems, in which the origin of the nonlinear systems is the absolute stability, is estimated by using a Liapunov-Razumikhn function. Two sufficient conditions are obtained about absolutely stable criteria of nonlinear systems. A numerical example illustrates the effectiveness of the presented algorithm. We find that the key problem is how to choose τ, The value of τ depends on the set D that relates to Liapunov matrix Q. So the optimization (Qbest,τmax) is our objective. By using computer aided tools and Liapunov matrix equations, we can obtain the optimization τ.

AB - The time delay of Lurie nonlinear systems, in which the origin of the nonlinear systems is the absolute stability, is estimated by using a Liapunov-Razumikhn function. Two sufficient conditions are obtained about absolutely stable criteria of nonlinear systems. A numerical example illustrates the effectiveness of the presented algorithm. We find that the key problem is how to choose τ, The value of τ depends on the set D that relates to Liapunov matrix Q. So the optimization (Qbest,τmax) is our objective. By using computer aided tools and Liapunov matrix equations, we can obtain the optimization τ.

KW - Bounded time-delay

KW - Feedback input

KW - Liapunov functional

KW - Nonlinear system

KW - Stability

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SN - 9781424400614

T3 - Proceedings of the 2006 International Conference on Machine Learning and Cybernetics

SP - 978

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BT - Proceedings of the 2006 International Conference on Machine Learning and Cybernetics

T2 - 2006 International Conference on Machine Learning and Cybernetics

Y2 - 13 August 2006 through 16 August 2006

ER -

Stability analysis of a type of nonlinear time-delay control systems

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Keywords

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