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Controllability of partially observed stochastic semilinear fractional control systems

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Abstract

The study examines sufficient conditions for the stochastic controllability of a partially observed semilinear fractional-order stochastic control system. Employing the separation principle, we partition the system into two distinct forms: a linear stochastic control system and a semilinear deterministic control system. Our main results are derived through the application of Gronwall’s inequality, the Lipschitz condition, and the Cauchy sequence. Notably, this approach relaxes the requirements for the compactness of a strongly continuous semigroup and the boundedness of nonlinearity. To illustrate this concept, an example is provided.

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Acknowledgements

The corresponding author express sincere gratitude to the Science and Engineering Research Board (SERB) for their generous financial support through the MATRICS grant program (Grant No. [MTR/2022/00412]). This funding has been instrumental in the successful execution of research project and has significantly contributed to the advancement of knowledge in field.

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  1. Department of Applied Sciences, Rajkiya Engineering College Kannauj, Kannauj, Uttar Pradesh, 209732, India

    Pooja Gautam & Anurag Shukla

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  1. Pooja Gautam
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Correspondence to Anurag Shukla.

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Gautam, P., Shukla, A. Controllability of partially observed stochastic semilinear fractional control systems. J Anal (2024). https://doi.org/10.1007/s41478-024-00774-9

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