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<p>In this paper, we address the problem of the fundamentals and stability analysis for a class of positive fractional-order two-dimensional (2-D) systems with time-varying delays. Firstly, based on the Banach fixed point theorem, the fundamentals, including the existence, the uniqueness and the continuous dependence of solution, are studied. Next, by using the continuous dependence of solution, a condition for the positivity is derived. Lastly, by developing a solution comparison method, which is based on the system’s positivity, a sufficient condition for the asymptotic stability of the considered system is established. A numerical example is also provided to illustrate the theoretical results.</p>

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Fundamentals and Stability of Positive Fractional-Order Two-Dimensional (2-D) Systems with Delays

  • 期刊论文

  • 发表日期：

    2025年6月2日

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  • Tran Ngoc Nguyen,
  • Phan Thanh Nam

摘要

In this paper, we address the problem of the fundamentals and stability analysis for a class of positive fractional-order two-dimensional (2-D) systems with time-varying delays. Firstly, based on the Banach fixed point theorem, the fundamentals, including the existence, the uniqueness and the continuous dependence of solution, are studied. Next, by using the continuous dependence of solution, a condition for the positivity is derived. Lastly, by developing a solution comparison method, which is based on the system’s positivity, a sufficient condition for the asymptotic stability of the considered system is established. A numerical example is also provided to illustrate the theoretical results.