Technical results for the study of robustness of Lagrange stability

Z. P. Jiang, L. Praly

Research output: Contribution to journalArticlepeer-review


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
Issue number1
StatePublished - Jul 1994


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

ASJC Scopus subject areas

  • Control and Systems Engineering
  • General Computer Science
  • Mechanical Engineering
  • Electrical and Electronic Engineering


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