Scientific Research Publishing

Solve the Polynomial Functions Conditional Extreme by Applying the Groebner Basis Method ()

In this paper, an algebraic method which is based on the groebner bases theory is proposed to solve the polynomial functions conditional extreme. Firstly, we describe how to solve conditional extreme ...
IEEE

Polynomial Lyapunov Functions and Invariant Sets from a New Hierarchy of Quadratic Lyapunov Functions for LTV Systems

Abstract: We introduce a new class of quadratic functions based on a hierarchy of linear time-varying (LTV) dynamical systems. These quadratic functions in the higher order space can be also seen as a ...
IEEE

On Polynomial Stochastic Barrier Functions: Bernstein Versus Sum-of-Squares

Abstract: Stochastic Barrier Functions (SBFs) certify the safety of stochastic systems by formulating a functional optimization problem, which state-of-the-art methods solve using Sum-of-Squares (SoS) ...
JSTOR Daily

A Fully Polynomial-Time Approximation Algorithm for Computing a Stationary Point of the General Linear Complementarity Problem

This is a preview. Log in through your library . Abstract We apply a potential reduction algorithm to solve the general linear complementarity problem (GLCP) minimize ...