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March 19, 20260 citationsOpen Access

Stability Analysis and Convergence Proofs in Dynamical Systems for Power-Grid Forecasting in Nigeria

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OOOlumide OlayiwolaOOOladapo OgunbiyiCOC. Onyema

Key Points

  • This research aims to develop a rigorous mathematical model for predicting power-grid stability and convergence in Nigeria.
  • Formulated a mathematical model with verifiable assumptions
  • Developed a theorem-driven framework under regularity assumptions
  • Analyzed the stability and convergence of the proposed estimator
  • Showed stability of the proposed functional under bounded perturbations
  • Demonstrated convergence of the estimator to a defined limit
  • Provided a reproducible analytical basis for theoretical and applied extensions

Abstract

This study addresses a current research gap in Mathematics concerning Dynamical Systems for power-grid forecasting in Nigeria: stability analysis and convergence proofs in Nigeria. The objective is to formulate a rigorous model, state verifiable assumptions, and derive results with direct analytical or practical implications. A theorem-driven mathematical framework was developed under explicit regularity assumptions, with stability and convergence analysis of the proposed estimator. The main results show stability of the proposed functional under bounded perturbations and convergence of the estimator to a well-defined limit, characterised by R (x) =argminₜheta L (theta;x). The findings provide a reproducible analytical basis for subsequent theoretical and applied extensions. Stakeholders should prioritise inclusive, locally grounded strategies and improve data transparency. Dynamical Systems for power-grid forecasting in Nigeria: stability analysis and convergence proofs, Nigeria, Africa, Mathematics, theoretical This work contributes a formal specification, transparent assumptions, and mathematically interpretable claims.

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Cite This Study

Olayiwola et al. (2014) studied this question.

synapsesocial.com/papers/69bb9321496e729e629810d4https://doi.org/10.5281/zenodo.19058563
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