W-Stability of Multistable Nonlinear Discrete-Time Systems

W-Stability of Multistable Nonlinear Discrete-Time Systems

Blog Article

Motivated by the importance and application of discrete dynamical systems, this paper presents a Foot Stools new Lyapunov characterization which is an extension of conventional Lyapunov characterization for multistable discrete-time nonlinear systems.Based on a new type stability notion of W-stability introduced by D.Efimov, the estimates of solution and the Wallets Lyapunov stability theorem and converse theorem are proposed for multi-stable discrete-time nonlinear systems.