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

Hiroshi Ito, Pierdomenico Pepe, Zhong-Ping Jiang

Research output: Chapter in Book/Report/Conference proceedingConference 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 languageEnglish (US)
Title of host publicationProceedings of the 47th IEEE Conference on Decision and Control, CDC 2008
Pages19-24
Number of pages6
DOIs
StatePublished - 2008
Event47th IEEE Conference on Decision and Control, CDC 2008 - Cancun, Mexico
Duration: Dec 9 2008Dec 11 2008

Other

Other47th IEEE Conference on Decision and Control, CDC 2008
CountryMexico
CityCancun
Period12/9/0812/11/08

Fingerprint

Distributed Time Delay
Interconnection
Lyapunov
Nonlinear systems
Time delay
Subsystem
Nonlinear Systems
Sufficient
Framework

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

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). [4739018] 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. 2008. p. 19-24 4739018.

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

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., 4739018, 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 Z-P. 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. 2008. p. 19-24. 4739018 https://doi.org/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. 2008. pp. 19-24
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