On uniform and nonuniform finite-time stability

The theoretical implications of the concept of "uniformity" in the theory of finite-time stability are discussed. A theorem, giving sufficient conditions for a general class of nonlinear time-varying systems to be nonuniformly finite-time stable under perturbing forces, is stated and proved which reduces to a recently reported result when the forcing function is zero. A similar theorem for uniform finite-time stability under perturbing forces is an immediate consequence.