85 results about "Lyapunov stability" patented technology

Various types of stability may be discussed for the solutions of differential equations or difference equations describing dynamical systems. The most important type is that concerning the stability of solutions near to a point of equilibrium. This may be discussed by the theory of Aleksandr Lyapunov. In simple terms, if the solutions that start out near an equilibrium point xₑ stay near xₑ forever, then xₑ is Lyapunov stable.