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3 articles for “Jacobian matrix.”
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Transport Phenomena of Hepatitis B with Special Reference to Jacobian Matrix in the Null Space
Abstract: A mathematical model representing the transmission dynamics of Hepatitis B virus was presented with system of non-linear differential equations which explain the interaction of Acute, Chronic, Recovered, Treatment, Vaccinated classes of the infection with another epidemiological parameter. The aim of this work is to carry out detailed sensitivity analysis of the model parameters. The disease-free equilibrium points and basic reproduction number of the cases were analyzed. Sensitivity analysis of R0 …
Published in Research & Reviews : Journal of Physics · Vol. 11, Issue 1, 2022 · pp. 16–22 Read article
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An Improvement of Voltage Stability by Generator Bus Rescheduling
Abstract: This paper focuses on assessment and improvement of voltage stability by Georgeoschrin’s theorem using new evolutionary TLBO and PSO algorithm. In today’s environment, voltage stability maintained without sacrificing the power system parameters is really a herculean task. Generally, eigen value of reduced Jacobian matrix or Jacobian matrix of N-R base load flow analysis is well thought-out as voltage stability indices for weak bus identification. Here, the diagonal elements reduced Jacobian …
Published in Trends in Electrical Engineering · Vol. 7, Issue 2, 2017 · pp. 1–10 Read article
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Mathematical Analysis and Stability Analysis of Coupled Orbital–Attitude Dynamics for Autonomous Spacecraft under Perturbative Forces
Abstract: Autonomous spacecraft operating in Earth orbit are subjected to coupled translational and rotational dynamics influenced by gravitational and environmental perturbations. Accurate mathematical characterization of these interactions is essential for trajectory prediction, attitude stabilization, autonomous navigation, and mission reliability. This study develops a nonlinear mathematical framework for coupled orbital–attitude dynamics of an autonomous spacecraft under perturbative forces. The translational dynamics are formulated using the two-body gravitational model augmented by the second …
Published in Research & Reviews : Journal of Space Science & Technology · Vol. 15, Issue 2, 2026 Read article