Lyapunov function provides feasible estimation and prediction of nonlinear system stability,
and useful guidance for adaptive control in chaos and synchronization approach. In case of …

Features new results and up-to-date advances in modeling and solving differential
equations Introducing the various classes of functional differential equations, Functional …

Optimization is among the richest modeling languages in science. In statistics and machine
learning, for instance, inference is typically posed as an optimization problem. While there …

The CPA method uses linear programming to compute Continuous and Piecewise Affine
Lyapunov functions for nonlinear systems with asymptotically stable equilibria. In [14] it was …

Lyapunov functions are an important tool to determine the basin of attraction of equilibria in
Dynamical Systems through their sublevel sets. Recently, several numerical construction …

Given an autonomous discrete time system with an equilibrium at the origin and a
hypercube containing the origin, we state a linear programming problem, of which any …

We present a novel method to compute Lyapunov functions for continuous-time systems with
multiple local attractors. In the proposed method one first computes an outer approximation …

The numerical construction of Lyapunov functions provides useful information on system
behavior. In the Continuous and Piecewise Affine (CPA) method, linear programming is …

We present a numerical technique for the computation of a Lyapunov function for nonlinear
systems with an asymptotically stable equilibrium point. The proposed approach constructs …

We present a novel numerical technique for the computation of a Lyapunov function for
nonlinear systems with an asymptotically stable equilibrium point. Our proposed approach …