Identify properties of a quadratic function In this part you do not have to sketch the graph and you may even be given the sketch of the graph to start with.

This paper presents a computational approach to stability analysis of nonlinear and hybrid systems. The search for a piecewise quadratic Lyapunov function is formulated as a convex optimization ...

A Lyapunov approach is developed in this paper for estimation of the magnitude of self-induced oscillations for systems with piecewise linear elements. The oscillatory trajectories are bounded by ...

Using and extending the framework of common quadratic Lyapunov functions from the theory of control, we construct Lyapunov functions for the diffusion approximations corresponding to systems with and ...

A quadratic function can be drawn as a parabola on a graph. Find out how to plot the graph in this Bitesize KS3 maths video.

In the study of production scheduling to meet random fluctuations in supply and demand, a probabilistic measure of effectiveness can be used. This measure is a piecewise quadratic positive definite ...