The Controllability for Second-Order Semilinear Impulsive Systems

• Qian Wen ^[1] ; Michal Feckan ^[2] ; JinRong Wang ^[1]
  1. [1] Guizhou University

     Guizhou University

     China

     
  2. [2] Comenius University

     Comenius University

     Eslovaquia

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 22, Nº 1, 2023
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • This paper studies the controllability of the initial value problems of linear and semilinear second-order impulsive systems. Necessary and sufficient conditions of controllability for linear problems are obtained, and a new rank criterion is presented.

    We also show semilinear problems are controllable via Krasnoselskii’s fixed point theorem. Finally, two examples are provided to verify the theoretically results.

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