Tracking Controllability of Linear Difference Equations

• Huiping Luo ^[1] ; JinRong Wang ^[1]
  1. [1] Guizhou University

     Guizhou University

     China

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 25, Nº 2, 2026
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • This paper studies an interesting problem of the solution to linear difference equations, aiming to analyze whether a projection of the solution can be steered to any predefined trajectory via control functions. Toward this objective, we investigate both types of tracking controllability for linear difference equations, termed E-tracking controllability and (E, F)-tracking controllability. Then, leveraging algebraic theory with recursive techniques, we establish the necessary and sufficient conditions for both types of tracking controllability and provide explicit recursive formulas for constructing control functions. In addition, nonlinear and delayed systems are discussed as well. Finally, numerical examples along with corresponding tables are shown to reinforce the results.

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