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

Adiya Bao, Tengfei Liu, Zhong-Ping Jiang

Research output: Chapter in Book/Report/Conference proceedingConference 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 languageEnglish (US)
Title of host publication2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages3646-3651
Number of pages6
Volume2018-January
ISBN (Electronic)9781509028733
DOIs
StatePublished - Jan 18 2018
Event56th IEEE Annual Conference on Decision and Control, CDC 2017 - Melbourne, Australia
Duration: Dec 12 2017Dec 15 2017

Other

Other56th IEEE Annual Conference on Decision and Control, CDC 2017
CountryAustralia
CityMelbourne
Period12/12/1712/15/17

Fingerprint

Small Gain Theorem
Stability Theorem
Large-scale Systems
Hybrid systems
Hybrid Systems
Output
Subsystem
Large scale systems

ASJC Scopus subject areas

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

Cite this

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

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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