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<p>Finite-time stability pertains to the analysis of system trajectories that converge to an equilibrium state within a prescribed finite duration. This concept necessitates predefined constraints on system parameters and a bounded time interval. Recognizing that numerous practical systems function over finite-time horizons rather than infinite ones, this article investigates a nonlinear fractional difference system with multi-state time delays. We provide a few conditions for the finite-time stability of the considered system using fixed point theory. We conclude this article with several examples to support the established result.</p>

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Novel stability result for a nonlinear fractional difference system with multi-state time delays

  • 期刊论文

  • 发表日期：

    2026年7月24日

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  • Jagan Mohan Jonnalagadda

摘要

Finite-time stability pertains to the analysis of system trajectories that converge to an equilibrium state within a prescribed finite duration. This concept necessitates predefined constraints on system parameters and a bounded time interval. Recognizing that numerous practical systems function over finite-time horizons rather than infinite ones, this article investigates a nonlinear fractional difference system with multi-state time delays. We provide a few conditions for the finite-time stability of the considered system using fixed point theory. We conclude this article with several examples to support the established result.