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 …

Lyapunov functions are an essential tool in the stability analysis of dynamical systems, both
in theory and applications. They provide sufficient conditions for the stability of equilibria or …

We propose a deep neural network architecture and a training algorithm for computing
approximate Lyapunov functions of systems of nonlinear ordinary differential equations …

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 …

In this paper, we propose decentralized control of networks of discrete-time nonlinear control
systems, enforcing complex specifications expressed in terms of regular languages, within …

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

Устойчивость в смысле Ляпунова анализируется с помощью приближенных методов
решения задачи Коши для обыкновенных дифференциальных уравнений. В числе …

Determining the region of attraction of nonlinear systems is a difficult problem, which is
typically approached by means of Lyapunov theory. State of the art approaches either …

In this article the solvability analysis of discretetime nonlinear singular switched systems with
restricted switching signals is studied. We provide necessary and sufficient conditions for the …

The CPA method to compute Lyapunov functions depends on a triangulation of the relevant
part of the state space. In more detail, a CPA (Continuous and Piecewise Affine) function is …