Stability analysis
2 articles · search the full text for this term
-
Linear Stability in the Restricted Three-Body Problem with Oblate Primaries
Abstract: We present a study of the linear stability which is based on numerically we find that the critical mass ratio of the primaries forms a smooth surface and absence that c decrease as oblate parameter increase. In the restricted three-body problem the collinear points are unstable and equilateral triangular points are stable for the mass ratio . The numerical calculations give a thorough explanation of how changes in …
Published in Research & Reviews : Journal of Space Science & Technology · Vol. 15, Issue 2, 2026 Read article
-
LQR-Based Optimal Control of Inverted Pendulum System with State Estimation and Stability Analysis
Abstract: The inverted pendulum on a cart is a canonical benchmark problem in control systems engineering, capturing the essential challenges of stabilizing an inherently unstable, underactuated, and nonlinear plant. Classical Proportional-Integral-Derivative (PID) controllers, while widely employed in industrial practice, exhibit fundamental performance limitations when applied to such systems, primarily due to their inability to account for multivariable coupling, process noise, and the absence of a systematic optimization framework. This paper presents …
Published in International Journal of Advanced Control and System Engineering · Vol. 4, Issue 1, 2026 · pp. 31–43 Read article