In this paper it is shown that a class of n-dimensional nonholonomic chained systems can be stabilized using the invariant manifold approach. First, we derive an invariant manifold for this class of systems and we show that, once on it, all the closed-loop trajectories tend to the origin under a linear smooth time-invariant state feedback. Thereafter, it is… (More)
This paper deals the stability analysis of the PDC controller synthesis of a synchronous machine represented by TS fuzzy model. Based on a Quadratic Lyapunov function candidate (QLF), asymptotic stability conditions for continuous system implemented via Linear Matrix Inequalities was estabilished. Nevertheless, when we have a system that has a common… (More)
In this work we study the existence of solutions for the nonlin-ear eigenvalue problem with p-biharmonic ∆ 2 p u = λm(x)|u| p−2 u in a smooth bounded domain under Neumann boundary conditions.