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<p>This manuscript delves into the controllability analysis of a third-order delayed dispersion system (3O-DDS). The main objective is to establish a controllability relationship between the dispersion system without delay and its delayed counterpart. Initially, the contraction mapping theorem is employed to demonstrate the existence and uniqueness of the solution. Furthermore, controllability results for the considered system are obtained by assuming either exact or approximate controllability of the delay-free counterpart and introducing specific range constraints on the nonlinear term.</p>

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Controllability Analysis of Third-Order Dispersion System with Delayed Nonlinearities in a Periodic Setting

  • 期刊论文

  • 发表日期：

    2025年9月17日

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  • Sandeep Kumar,
  • Tajinder

摘要

This manuscript delves into the controllability analysis of a third-order delayed dispersion system (3O-DDS). The main objective is to establish a controllability relationship between the dispersion system without delay and its delayed counterpart. Initially, the contraction mapping theorem is employed to demonstrate the existence and uniqueness of the solution. Furthermore, controllability results for the considered system are obtained by assuming either exact or approximate controllability of the delay-free counterpart and introducing specific range constraints on the nonlinear term.