Local stability analysis for large polynomial spline systems

Torbjørn Cunis, Jean Philippe Condomines, Laurent Burlion

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


Polynomial switching systems such as multivariate splines provide accurate fitting while retaining an algebraic representation and offering arbitrary degrees of smoothness; yet, application of sum-of-squares techniques for local stability analysis is computationally demanding for a large number of subdomains. This communiqué presents an algorithm for region of attraction estimation that is confined to those subdomains actually covered by the estimate, thereby significantly reducing computation time. Correctness of the results is subsequently proven and the run time is approximated in terms of the number of total and covered subdomains. Application to longitudinal aircraft motion concludes the study.

Original languageEnglish (US)
Article number108773
StatePublished - Mar 2020

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Electrical and Electronic Engineering


  • Lyapunov function
  • Nonlinear analysis
  • Polynomial methods
  • Stability analysis
  • Switching functions

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