Lyapunov-ISS cyclic-small-gain in hybrid dynamical networks

Tengfei Liu, Zhong-Ping Jiang, David J. Hill

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

Abstract

This paper develops a cyclic-small-gain theorem for hybrid dynamical networks composed of continuous-time and discrete-time input-to-state stable (ISS) subsystems. The main result is achieved in two steps: a) A hybrid dynamical network composed of ISS subsystems with interconnection gains less than the identity is ISS; b) Any hybrid dynamical networks satisfying the cyclic-small-gain condition can be transformed into networks with interconnection gains less than the identity. The sampling times of the discrete-time subsystems are independent of the states, which makes this result different from several of the existing results.

Original languageEnglish (US)
Title of host publication8th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2010
Pages813-818
Number of pages6
DOIs
StatePublished - 2010
Event8th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2010 - Bologna, Italy
Duration: Sep 1 2010Sep 3 2010

Other

Other8th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2010
CountryItaly
CityBologna
Period9/1/109/3/10

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Sampling

Keywords

  • Cyclic-small-gain
  • Hybrid systems
  • Lyapunov formulation

ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

Liu, T., Jiang, Z-P., & Hill, D. J. (2010). Lyapunov-ISS cyclic-small-gain in hybrid dynamical networks. In 8th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2010 (pp. 813-818) https://doi.org/10.3182/20100901-3-IT-2016.00016

Lyapunov-ISS cyclic-small-gain in hybrid dynamical networks. / Liu, Tengfei; Jiang, Zhong-Ping; Hill, David J.

8th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2010. 2010. p. 813-818.

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

Liu, T, Jiang, Z-P & Hill, DJ 2010, Lyapunov-ISS cyclic-small-gain in hybrid dynamical networks. in 8th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2010. pp. 813-818, 8th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2010, Bologna, Italy, 9/1/10. https://doi.org/10.3182/20100901-3-IT-2016.00016
Liu T, Jiang Z-P, Hill DJ. Lyapunov-ISS cyclic-small-gain in hybrid dynamical networks. In 8th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2010. 2010. p. 813-818 https://doi.org/10.3182/20100901-3-IT-2016.00016
Liu, Tengfei ; Jiang, Zhong-Ping ; Hill, David J. / Lyapunov-ISS cyclic-small-gain in hybrid dynamical networks. 8th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2010. 2010. pp. 813-818
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