Version 1
: Received: 20 February 2024 / Approved: 20 February 2024 / Online: 20 February 2024 (14:22:57 CET)
How to cite:
A. Mageed, I. Lower Bound for the Fokker Planck Kolmogorov (FPK) Probability Density Function Controller's Designed Parameter with FPK applications to Genetics. Preprints2024, 2024021162. https://doi.org/10.20944/preprints202402.1162.v1
A. Mageed, I. Lower Bound for the Fokker Planck Kolmogorov (FPK) Probability Density Function Controller's Designed Parameter with FPK applications to Genetics. Preprints 2024, 2024021162. https://doi.org/10.20944/preprints202402.1162.v1
A. Mageed, I. Lower Bound for the Fokker Planck Kolmogorov (FPK) Probability Density Function Controller's Designed Parameter with FPK applications to Genetics. Preprints2024, 2024021162. https://doi.org/10.20944/preprints202402.1162.v1
APA Style
A. Mageed, I. (2024). Lower Bound for the Fokker Planck Kolmogorov (FPK) Probability Density Function Controller's Designed Parameter with FPK applications to Genetics. Preprints. https://doi.org/10.20944/preprints202402.1162.v1
Chicago/Turabian Style
A. Mageed, I. 2024 "Lower Bound for the Fokker Planck Kolmogorov (FPK) Probability Density Function Controller's Designed Parameter with FPK applications to Genetics" Preprints. https://doi.org/10.20944/preprints202402.1162.v1
Abstract
The hard open problem of finding the lower bound for the Fokker Planck Kolmogorov’s time-dependent controller parameter probability density function is addressed for the first time in literature in this work. This revolutionary exposition will put control theory and other related inter-disciplinary fields to a higher level towards contemporary control theory. Notably, based on the influential role of control theory in both engineering and industry, this paper will be of great value to all engineering and industry professionals who seek to know more about advanced trends within control theory settings. On the other remit of the spectrum, Fokker Planck Kolmogorov(FPK) equations are of high importance to physicists as well as mathematicians, based on their multiple applicability to multi-interdisciplinary fields of human knowledge, and beyond. So, this by default adds more taste and credibility to this study. Concluding thoughts are included at the end of the work along with a difficult outstanding problem and the direction of future work.
Keywords
Fokker Planck Kolmogorov(FPK) equations; time-dependent controller’s designed parameter(TDCDP); probability density function(PDF)
Subject
Computer Science and Mathematics, Applied Mathematics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
