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Article Example
ଲ୍ୟାପୁନୋଭ୍ ସ୍ଥାୟୀତ୍ତ୍ଵ Lyapunov, in his original 1892 work, proposed two methods for demonstrating stability. The first method developed the solution in a series which was then proved convergent within limits. The second method, which is almost universally used nowadays, makes use of a "Lyapunov function V(x)" which has an analogy to the potential function of classical dynamics. It is introduced as follows for a system having a point of equilibrium at x=0. Consider a function formula_34 such that