Scholarlink

<p>Distributed delays present significant challenges for controllability due to their continuous nature and non-local effects. This paper addresses these challenges analytically and presents results on the controllability of linear and nonlinear time-varying stochastic fractional dynamical systems (TV-SFDSs) with distributed delays in control. Using the Bourdin state transition matrix (STM), the solution of the system under consideration is obtained. The controllability criterion is established using a Gramian matrix-based approach. The Banach fixed-point theorem is used to develop the controllability criterion for the nonlinear system. Numerical examples are given to illustrate the application of these results.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Controllability of Time-Varying Stochastic Fractional Dynamical Systems with Distributed Delays in Control

  • 期刊论文

  • 发表日期：

    2026年3月31日

查看全文
  • Twinkle Sanjay Desai,
  • S M Sivalingam,
  • V Govindaraj

摘要

Distributed delays present significant challenges for controllability due to their continuous nature and non-local effects. This paper addresses these challenges analytically and presents results on the controllability of linear and nonlinear time-varying stochastic fractional dynamical systems (TV-SFDSs) with distributed delays in control. Using the Bourdin state transition matrix (STM), the solution of the system under consideration is obtained. The controllability criterion is established using a Gramian matrix-based approach. The Banach fixed-point theorem is used to develop the controllability criterion for the nonlinear system. Numerical examples are given to illustrate the application of these results.