Abstract: This paper proposes a new method to construct a strong Lyapunov function starting from a weak Lyapunov function. Using a modified Taylor series expansion that involves higher order ...

Abstract: Control Lyapunov functions are traditionally used to design a controller which ensures convergence to a desired state, yet deriving these functions for nonlinear systems remains a complex ...

This is a preview. Log in through your library . Abstract A class of global Lyapunov functions is revisited and used to resolve a long-standing open problem on the uniqueness and global stability of ...