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September 18, 2026Asian Journal of Control

Trajectory Controllability of Higher‐Order Coupled Stochastic Switched Systems Involving Hilfer Fractional Derivatives and Non‐Instantaneous Impulses via Measures of Noncompactness

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Authors

DCDimplekumar ChalishajarVirginia Military InstituteDKDhanalakshmi KasinathanPeriyar UniversityQZQuanxin ZhuHunan Normal University

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Implication

Theoretical analysis demonstrates trajectory controllability in higher-order Hilfer fractional stochastic switched systems, highlighting new control methods for dynamic networks under noise.

Key Points

  • Investigate the solvability and trajectory controllability of higher-order Hilfer fractional coupled stochastic switched differential equations subject to non-instantaneous impulses and deviated arguments.
  • Applied the Mönch fixed-point theorem alongside measures of noncompactness to establish the existence of solutions in finite-dimensional space.
  • Designed a new class of control functions to steer system dynamics at interval boundaries and during impulsive events subject to stochastic noise.
  • Constructed a numerical simulation example to evaluate and confirm the theoretical control framework.
  • Proved the existence of solutions for higher-order coupled stochastic switched systems involving Hilfer fractional derivatives and non-instantaneous impulses.
  • Demonstrated trajectory controllability across time intervals and discrete impulse moments using the proposed stochastic control functions.

Cite This Study

Chalishajar et al. (2026) studied this question.

synapsesocial.com/papers/6aad0b98de0393d728b8a09bhttps://doi.org/10.1002/asjc.70233
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