Systems and methods for guiding an object may comprise improved guidance laws that improve the effectiveness of the PRONAV guidance law. The improved guidance laws may utilize the same parameters as the PRONAV law and may be algorithmically simpler than conventional guidance laws because they may not be based on information about an intercept point or time-to-go. The improved guidance laws may be developed based on the Lyapunov method. The improved guidance laws may augment the PRONAV law and may provide additional components based on the negative definiteness of the derivative of the Lyapunov function. The additional components may be determined based on the partial stability of the guidance system dynamics under consideration with respect to the line of sight derivative. A comparative analysis of the improved guidance laws with the PRONAV laws, for example, may show that the improved guidance laws guarantee shorter homing time requirements and larger capture areas. The object may comprise a tactical or strategic weapon, including, for example, a guided missile.