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article · Control and Cybernetics

Stabilization of KdV equation with boundary time-delay feedback and input saturation

Abstract

Abstract In this paper, we study the question of stabilization of nonlinear Korteweg-de Vries equation with boundary time-delay feedback in presence of saturated source term. Thanks to Banach fixed-point theorem the well-posedness is proved. The exponential stability result is demonstrated, using an appropriate Lyapunov functional.

Research topics

  • Advanced Mathematical Physics Problems
  • Stability and Controllability of Differential Equations
  • Numerical methods for differential equations

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DOI: 10.2478/candc-2024-0018

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