An IOS small-gain theorem for large-scale hybrid systems

Adiya Bao; Tengfei Liu; Zhong Ping Jiang

doi:10.1109/CDC.2017.8264195

An IOS small-gain theorem for large-scale hybrid systems

Adiya Bao, Tengfei Liu, Zhong Ping Jiang

Electrical and Computer Engineering

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

Abstract

This paper develops a small-gain result for large-scale systems composed of hybrid subsystems. It is assumed that the subsystems are input-To-output practically stable (IOpS) and unboundedness observable (UO), and the large-scale hybrid system can be proved to be IOpS and UO as long as the proposed small-gain condition is satisfied. Moreover, if the IOpS assumption on the subsystems is reduced to input-To-output stability (IOS), then the large-scale hybrid system is IOS.

Original language	English (US)
Title of host publication	2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	3646-3651
Number of pages	6
ISBN (Electronic)	9781509028733
DOIs	https://doi.org/10.1109/CDC.2017.8264195
State	Published - Jun 28 2017
Event	56th IEEE Annual Conference on Decision and Control, CDC 2017 - Melbourne, Australia Duration: Dec 12 2017 → Dec 15 2017

Publication series

Name	2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017
Volume	2018-January

Other

Other	56th IEEE Annual Conference on Decision and Control, CDC 2017
Country/Territory	Australia
City	Melbourne
Period	12/12/17 → 12/15/17

ASJC Scopus subject areas

Decision Sciences (miscellaneous)
Industrial and Manufacturing Engineering
Control and Optimization

Access to Document

10.1109/CDC.2017.8264195

Cite this

Bao, A., Liu, T., & Jiang, Z. P. (2017). An IOS small-gain theorem for large-scale hybrid systems. In 2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017 (pp. 3646-3651). (2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017; Vol. 2018-January). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2017.8264195

An IOS small-gain theorem for large-scale hybrid systems. / Bao, Adiya; Liu, Tengfei; Jiang, Zhong Ping.
2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017. Institute of Electrical and Electronics Engineers Inc., 2017. p. 3646-3651 (2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017; Vol. 2018-January).

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

Bao, A, Liu, T & Jiang, ZP 2017, An IOS small-gain theorem for large-scale hybrid systems. in 2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017. 2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017, vol. 2018-January, Institute of Electrical and Electronics Engineers Inc., pp. 3646-3651, 56th IEEE Annual Conference on Decision and Control, CDC 2017, Melbourne, Australia, 12/12/17. https://doi.org/10.1109/CDC.2017.8264195

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title = "An IOS small-gain theorem for large-scale hybrid systems",

abstract = "This paper develops a small-gain result for large-scale systems composed of hybrid subsystems. It is assumed that the subsystems are input-To-output practically stable (IOpS) and unboundedness observable (UO), and the large-scale hybrid system can be proved to be IOpS and UO as long as the proposed small-gain condition is satisfied. Moreover, if the IOpS assumption on the subsystems is reduced to input-To-output stability (IOS), then the large-scale hybrid system is IOS.",

author = "Adiya Bao and Tengfei Liu and Jiang, {Zhong Ping}",

note = "Funding Information: This work was supported in part by NSFC grants 61522305, 61633007, 61374042 and 61533007, in part by NSF grant ECCS-1501044, and in part by State Key Laboratory of Intelligent Control and Decision of Complex Systems at BIT Funding Information: *This work was supported in part by NSFC grants 61522305, 61633007, 61374042 and 61533007, in part by NSF grant ECCS-1501044, and in part by State Key Laboratory of Intelligent Control and Decision of Complex Systems at BIT. Publisher Copyright: {\textcopyright} 2017 IEEE.; 56th IEEE Annual Conference on Decision and Control, CDC 2017 ; Conference date: 12-12-2017 Through 15-12-2017",

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doi = "10.1109/CDC.2017.8264195",

language = "English (US)",

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N2 - This paper develops a small-gain result for large-scale systems composed of hybrid subsystems. It is assumed that the subsystems are input-To-output practically stable (IOpS) and unboundedness observable (UO), and the large-scale hybrid system can be proved to be IOpS and UO as long as the proposed small-gain condition is satisfied. Moreover, if the IOpS assumption on the subsystems is reduced to input-To-output stability (IOS), then the large-scale hybrid system is IOS.

AB - This paper develops a small-gain result for large-scale systems composed of hybrid subsystems. It is assumed that the subsystems are input-To-output practically stable (IOpS) and unboundedness observable (UO), and the large-scale hybrid system can be proved to be IOpS and UO as long as the proposed small-gain condition is satisfied. Moreover, if the IOpS assumption on the subsystems is reduced to input-To-output stability (IOS), then the large-scale hybrid system is IOS.

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An IOS small-gain theorem for large-scale hybrid systems

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