Relative Controllability of Impulsive Linear Discrete Delay Systems

• Xianghua Jin ^[1] ; Michal Feckan ^[2] ; JinRong Wang ^[3]
  1. [1] Guizhou University

     Guizhou University

     China

     
  2. [2] Comenius University

     Comenius University

     Eslovaquia

     
  3. [3] Guizhou University & Guizhou University (Guiyang)

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• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 22, Nº 4, 2023
• Idioma: inglés
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  • This paper investigates relative controllability of impulsive linear discrete delay systems with constant coefficients and a pure delay. Grammian and rank criteria for relative controllability are respectively established by introducing an impulsive discrete delay Grammian matrix. Thereafter, the restricted relative controllability of impulsive linear discrete delay systems is studied. More precisely, when the terminal state locates in a special invariant linear subspace, Grammian and rank criteria for relative controllability are demonstrated and an expression of corresponding control function is constructed. Finally, an example is provided to illustrate theoretical results