Inverse optimal redesign

Abstract

The main purpose of a Lyapunov function is the establishment of Lyapunov stability. But what else might a Lyapunov function be useful for? We explore this question in the present chapter and in Chapter 5. As we shall see, the utility of a Lyapunov function is in quantitative studies of robustness, to additive disturbance and to parameters, as well as in achieving inverse optimality in addition to stabilization.