Remarks on integral-ISS for systems with delays

Shanaz Tiwari; Yuan Wang; Zhong Ping Jiang

doi:10.1109/WCICA.2012.6358245

Remarks on integral-ISS for systems with delays

Shanaz Tiwari, Yuan Wang, Zhong Ping Jiang

Electrical and Computer Engineering

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

Abstract

The notion of integral input-to-state stability (integral-ISS) is now recognized as a central concept in nonlinear systems analysis. In this work, we explore the Razumikhin approach to the integral-ISS property for systems with delays. The main idea is to treat the delayed state variable as a disturbance input. The results in this work extend the previous results on the Razumikhin method in the contexts of asymptotic stability and ISS to the context of integral-ISS.

Original language	English (US)
Title of host publication	WCICA 2012 - Proceedings of the 10th World Congress on Intelligent Control and Automation
Pages	2227-2232
Number of pages	6
DOIs	https://doi.org/10.1109/WCICA.2012.6358245
State	Published - 2012
Event	10th World Congress on Intelligent Control and Automation, WCICA 2012 - Beijing, China Duration: Jul 6 2012 → Jul 8 2012

Publication series

Name	Proceedings of the World Congress on Intelligent Control and Automation (WCICA)

Other

Other	10th World Congress on Intelligent Control and Automation, WCICA 2012
Country/Territory	China
City	Beijing
Period	7/6/12 → 7/8/12

Keywords

Lyapunov- Razumikhin method
integral-ISS
nonlinear systems with delays
robust stability

ASJC Scopus subject areas

Control and Systems Engineering
Software
Computer Science Applications

Access to Document

10.1109/WCICA.2012.6358245

Cite this

Remarks on integral-ISS for systems with delays. / Tiwari, Shanaz; Wang, Yuan; Jiang, Zhong Ping.
WCICA 2012 - Proceedings of the 10th World Congress on Intelligent Control and Automation. 2012. p. 2227-2232 6358245 (Proceedings of the World Congress on Intelligent Control and Automation (WCICA)).

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

Tiwari, S, Wang, Y & Jiang, ZP 2012, Remarks on integral-ISS for systems with delays. in WCICA 2012 - Proceedings of the 10th World Congress on Intelligent Control and Automation., 6358245, Proceedings of the World Congress on Intelligent Control and Automation (WCICA), pp. 2227-2232, 10th World Congress on Intelligent Control and Automation, WCICA 2012, Beijing, China, 7/6/12. https://doi.org/10.1109/WCICA.2012.6358245

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abstract = "The notion of integral input-to-state stability (integral-ISS) is now recognized as a central concept in nonlinear systems analysis. In this work, we explore the Razumikhin approach to the integral-ISS property for systems with delays. The main idea is to treat the delayed state variable as a disturbance input. The results in this work extend the previous results on the Razumikhin method in the contexts of asymptotic stability and ISS to the context of integral-ISS.",

keywords = "Lyapunov- Razumikhin method, integral-ISS, nonlinear systems with delays, robust stability",

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AB - The notion of integral input-to-state stability (integral-ISS) is now recognized as a central concept in nonlinear systems analysis. In this work, we explore the Razumikhin approach to the integral-ISS property for systems with delays. The main idea is to treat the delayed state variable as a disturbance input. The results in this work extend the previous results on the Razumikhin method in the contexts of asymptotic stability and ISS to the context of integral-ISS.

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ER -

Remarks on integral-ISS for systems with delays

Abstract

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Keywords

ASJC Scopus subject areas

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