A vector small-gain theorem for general nonlinear control systems

Iasson Karafyllis, Zhong-Ping Jiang

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

Abstract

A new Small-Gain Theorem is presented for general nonlinear control systems described either by ordinary differential equations or by retarded functional differential equations. The novelty of this research work is that vector Lyapunov functions and functionals are utilized to derive various input-to-output stability results. It is shown that the proposed approach recovers several recent results as special instances and is extendible to other important classes of control systems.

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
Pages7996-8001
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
Nonlinear control systems
Nonlinear Control Systems
Lyapunov functions
Ordinary differential equations
Differential equations
Vector Lyapunov Functions
Retarded Functional Differential Equations
Control systems
Lyapunov Functionals
Ordinary differential equation
Control System
Output
Class

ASJC Scopus subject areas

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

Cite this

Karafyllis, I., & Jiang, Z-P. (2009). A vector small-gain theorem for general nonlinear control systems. In Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009 (pp. 7996-8001). [5399819] https://doi.org/10.1109/CDC.2009.5399819

A vector small-gain theorem for general nonlinear control systems. / Karafyllis, Iasson; 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. 7996-8001 5399819.

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

Karafyllis, I & Jiang, Z-P 2009, A vector small-gain theorem for general nonlinear control systems. in Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009., 5399819, pp. 7996-8001, 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.2009.5399819
Karafyllis I, Jiang Z-P. A vector small-gain theorem for general nonlinear control 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. 7996-8001. 5399819 https://doi.org/10.1109/CDC.2009.5399819
Karafyllis, Iasson ; Jiang, Zhong-Ping. / A vector small-gain theorem for general nonlinear control systems. Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009. 2009. pp. 7996-8001
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