Marginal stability theory

Marginal stability theory explores how systems, like structures or circuits, behave when they are on the verge of becoming unstable. It examines conditions where a small change can either cause the system to tip into instability or return to stability. Think of it like balancing a pencil on your fingertip—precise adjustments determine if it stays upright or falls. This theory helps engineers design systems that operate safely at the boundary between stable and unstable, ensuring resilience without unnecessary overdesign. It is fundamental in control systems, structural engineering, and electrical circuits for understanding and managing stability margins.