Using Lyapunov's direct method for wave suppression in reactive systems

Yelena Smagina*, Moshe Sheintuch

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

21 Scopus citations


This paper proposes a new approach for stabilizing a homogeneous solution in reaction-convection-diffusion system with oscillatory kinetics, in which moving or stationary patterns emerge in the absence of control. Specifically, we aim to suppress patterns by using a spatially weighted finite-dimensional feedback control that assures stability of the solution according to Lyapunov's direct method. A practical design procedure, based on spectral representation of the system and dissipative nature of parabolic PDEs, is presented.

Original languageEnglish
Pages (from-to)566-572
Number of pages7
JournalSystems and Control Letters
Issue number7
StatePublished - Jul 2006
Externally publishedYes


  • Distributed control
  • Lyapunov's direct method
  • Nonlinear partial differential equations
  • Sector nonlinearity
  • Wave suppress


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