Lyapunov Stability Theory is a mathematical framework used to analyze the stability of dynamical systems, focusing on the behavior of solutions in the vicinity of equilibrium points. It provides criteria to determine whether small perturbations or changes in initial conditions will lead to bounded or divergent behavior over time, thereby assessing the system's resilience to disturbances and its ability to return to equilibrium.
congrats on reading the definition of Lyapunov Stability Theory. now let's actually learn it.