A nonlinear small-gain theorem for large-scale time delay systems

Shanaz Tiwari, Yuan Wang, Zhong-Ping Jiang

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

Abstract

This paper extends the nonlinear ISS small-gain theorem to a large-scale time delay system composed of three or more subsystems. En route to proving this small-gain theorem for systems of differential equations with delays, a small-gain theorem for operators is examined. The result developed for operators allows applications to a wide class of systems, including state space systems with delays.

Original languageEnglish (US)
Title of host publicationProceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009
Pages7204-7209
Number of pages6
DOIs
StatePublished - 2009
Event48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009 - Shanghai, China
Duration: Dec 15 2009Dec 18 2009

Other

Other48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009
CountryChina
CityShanghai
Period12/15/0912/18/09

Fingerprint

Small Gain Theorem
Time-delay Systems
Large-scale Systems
Time delay
Differential equations
Operator
System of Differential Equations
Subsystem
State Space

ASJC Scopus subject areas

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

Cite this

Tiwari, S., Wang, Y., & Jiang, Z-P. (2009). A nonlinear small-gain theorem for large-scale time delay systems. In Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009 (pp. 7204-7209). [5400487] https://doi.org/10.1109/CDC.2009.5400487

A nonlinear small-gain theorem for large-scale time delay systems. / Tiwari, Shanaz; Wang, Yuan; Jiang, Zhong-Ping.

Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009. 2009. p. 7204-7209 5400487.

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

Tiwari, S, Wang, Y & Jiang, Z-P 2009, A nonlinear small-gain theorem for large-scale time delay systems. in Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009., 5400487, pp. 7204-7209, 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009, Shanghai, China, 12/15/09. https://doi.org/10.1109/CDC.2009.5400487
Tiwari S, Wang Y, Jiang Z-P. A nonlinear small-gain theorem for large-scale time delay systems. In Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009. 2009. p. 7204-7209. 5400487 https://doi.org/10.1109/CDC.2009.5400487
Tiwari, Shanaz ; Wang, Yuan ; Jiang, Zhong-Ping. / A nonlinear small-gain theorem for large-scale time delay systems. Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009. 2009. pp. 7204-7209
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