Robotics is an emerging synthetic science concerned with programming work. Robot
technologies are quickly advancing beyond the insights of the existing science. More secure …

This work was supported in part by the National Key R&D Program of China under Grant
2017YFB1002505, in part by the National Natural Science Foundation of China under Grant …

Methods have previously been developed for the approximation of Lyapunov functions
using radial basis functions. However these methods assume that the evolution equations …

This study introduces a new and promising stability approach for Caputo-Fabrizio (CF)-
fractional-order system. A new fractional comparison principle for this nonsingular kernel …

This paper aims at applications of Lyapunov functions as tools for analyzing concrete
dynamical systems with computer assistance, even for non-gradient-like systems. We want …

An approach for computing Lyapunov functions for nonlinear continuous-time differential
equations is developed via an alternative Yoshizawa-type construction. This construction is …

The analysis of a timeseries can provide many new perspectives if it is accompanied by the
assumption that the timeseries is generated from an underlying dynamical system. For …

We show that for an ordinary differential equation (ODE) with an exponentially stable
equilibrium and any compact subset of its basin of attraction, we can find a larger compact …

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 …

The determination of exponentially stable equilibria and their basin of attraction for a
dynamical system given by a general autonomous ordinary differential equation can be …