Uncertain dynamical systems--A Lyapunov min-max approach

TLDR: In this article, a class of dynamical systems in the presence of uncertainty is formulated by contingent differential equations, and the uncertainty is deterministic; the only assumption is that its value belongs to a known compact set.

Abstract: A class of dynamical systems in the presence of uncertainty is formulated by contingent differential equations. Asymptotic stability (in the sense of Lyapunov) is then developed via generalized dynamical systems (GDS's). The uncertainty is deterministic; the only assumption is that its value belongs to a known compact set. Application to variable structure and model reference control systems are discussed.