This letter describes a method for estimating regions of attraction and bounds on permissible perturbation amplitudes in nonlinear fluids systems. The proposed approach exploits quadratic constraints between the inputs outputs nonlinearity elliptical sets. reduces conservatism improves estimates over related methods that employ spherical We present investigate two algorithms performing analysis...

The stability of a four-wheel vehicle is an issue widely discussed. As effort to reduce accidents involving vehicles, many studies have been conducted develop control system. So far, all utilize lateral dynamics model as the reference derive desired states. However, defining states using steady-state cornering values may yield instability due changes in tire stiffness. This paper proposes simpl...

This paper provides an analysis of weak, Pontryagin and bounded strong minima satisfying a quadratic growth condition for optimal control problems of ordinary differential equations with constraints on initial-final state and pointwise constraints of two types: (a) inequality and equality mixed (control-state) constraints satisfying the hypothesis of uniform linear independence of gradients wit...

We propose an SQP algorithm for mathematical programs with complementarity constraints which solves at each iteration a quadratic program with linear complementarity constraints. We demonstrate how strongly M-stationary solutions of this quadratic program can be obtained by an active set method without using enumeration techniques. We show that all limit points of the sequence of iterate genera...