Technical results for the study of robustness of Lagrange stability

Research output: Contribution to journalArticle

Abstract

We study the robustness of boundedness of solutions of nonlinear dynamical systems. A sufficient coordinate-free technical condition on the characterization of unmodelled effects is given. This characterization with some analogy with the input to state stability of [16] has the potential to encompass most classical uncertainties. In this context, we establish Lagrange stability results which look very much like a small gain theorem. We illustrate the use of these technical results in the robust stabilization problem by a class of interconnected systems.

Original languageEnglish (US)
Pages (from-to)67-78
Number of pages12
JournalSystems and Control Letters
Volume23
Issue number1
DOIs
StatePublished - 1994

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Nonlinear dynamical systems
Large scale systems
Stabilization
Uncertainty

Keywords

  • boundedness
  • input to state stability
  • Nonlinear dynamical systems
  • robustness
  • unmodelled effects

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

Cite this

Technical results for the study of robustness of Lagrange stability. / Jiang, Zhong-Ping; Praly, L.

In: Systems and Control Letters, Vol. 23, No. 1, 1994, p. 67-78.

Research output: Contribution to journalArticle

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