A small-gain condition for integral input-to-state stability of interconnected retarded nonlinear systems

Hiroshi Ito; Pierdomenico Pepe; Zhong Ping Jiang

doi:10.1109/CDC.2008.4739018

A small-gain condition for integral input-to-state stability of interconnected retarded nonlinear systems

Hiroshi Ito, Pierdomenico Pepe, Zhong Ping Jiang

Electrical and Computer Engineering

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

Abstract

In this paper, interconnected retarded nonlinear systems are considered. Both the constant discrete and distributed time-delays in the subsystems and the interconnections are addressed. A sufficient small-gain type condition for integral input-to-state stability with respect to external inputs is provided in the framework of Lyapunov-Krasovskii functionals.

Original language	English (US)
Title of host publication	Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	19-24
Number of pages	6
ISBN (Print)	9781424431243
DOIs	https://doi.org/10.1109/CDC.2008.4739018
State	Published - 2008
Event	47th IEEE Conference on Decision and Control, CDC 2008 - Cancun, Mexico Duration: Dec 9 2008 → Dec 11 2008

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Other

Other	47th IEEE Conference on Decision and Control, CDC 2008
Country/Territory	Mexico
City	Cancun
Period	12/9/08 → 12/11/08

ASJC Scopus subject areas

Control and Systems Engineering
Modeling and Simulation
Control and Optimization

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10.1109/CDC.2008.4739018

Cite this

Ito, H., Pepe, P., & Jiang, Z. P. (2008). A small-gain condition for integral input-to-state stability of interconnected retarded nonlinear systems. In Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008 (pp. 19-24). Article 4739018 (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2008.4739018

A small-gain condition for integral input-to-state stability of interconnected retarded nonlinear systems. / Ito, Hiroshi; Pepe, Pierdomenico; Jiang, Zhong Ping.
Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008. Institute of Electrical and Electronics Engineers Inc., 2008. p. 19-24 4739018 (Proceedings of the IEEE Conference on Decision and Control).

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

Ito, H, Pepe, P & Jiang, ZP 2008, A small-gain condition for integral input-to-state stability of interconnected retarded nonlinear systems. in Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008., 4739018, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 19-24, 47th IEEE Conference on Decision and Control, CDC 2008, Cancun, Mexico, 12/9/08. https://doi.org/10.1109/CDC.2008.4739018

Ito H, Pepe P, Jiang ZP. A small-gain condition for integral input-to-state stability of interconnected retarded nonlinear systems. In Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008. Institute of Electrical and Electronics Engineers Inc. 2008. p. 19-24. 4739018. (Proceedings of the IEEE Conference on Decision and Control). doi: 10.1109/CDC.2008.4739018

Ito, Hiroshi ; Pepe, Pierdomenico ; Jiang, Zhong Ping. / A small-gain condition for integral input-to-state stability of interconnected retarded nonlinear systems. Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008. Institute of Electrical and Electronics Engineers Inc., 2008. pp. 19-24 (Proceedings of the IEEE Conference on Decision and Control).

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abstract = "In this paper, interconnected retarded nonlinear systems are considered. Both the constant discrete and distributed time-delays in the subsystems and the interconnections are addressed. A sufficient small-gain type condition for integral input-to-state stability with respect to external inputs is provided in the framework of Lyapunov-Krasovskii functionals.",

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AB - In this paper, interconnected retarded nonlinear systems are considered. Both the constant discrete and distributed time-delays in the subsystems and the interconnections are addressed. A sufficient small-gain type condition for integral input-to-state stability with respect to external inputs is provided in the framework of Lyapunov-Krasovskii functionals.

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A small-gain condition for integral input-to-state stability of interconnected retarded nonlinear systems

Abstract

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ASJC Scopus subject areas

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