lyapunov stability theory

Lyapunov stability theory is a mathematical framework that analyzes the stability and behavior of dynamic systems. It provides a way to determine whether an equilibrium point, or steady state, of a system is stable or unstable by assessing the properties of a Lyapunov function, which measures the system's energy or potential. By using Lyapunov stability theory, one can mathematically prove the stability of a system and gain insights into its long-term behavior.

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