João Manoel Gomes da Silva

TL;DR: The asymptotic stability of the closed-loop nonlinear partial differential equations of the wave equation with a one-dimensional space variable that describes the dynamics of string deflection is proven by Lyapunov techniques.

TL;DR: In this article, an observer-based event-triggered control strategy for linear systems using only local variables is presented, where sufficient conditions based on linear matrix inequalities (LMI) associated to convex optimization problems are proposed to ensure the asymptotic stability of the closed loop and the output convergence to a constant reference in both emulation and co-design contexts.

TL;DR: LMI-based optimization schemes for computing the anti-windup gains that lead to the maximization of the size of the region of stability associated to the closed-loop system are proposed and illustrated by means of numerical examples.

TL;DR: This technical note addresses the problem of regional stability analysis of a continuous-time plant controlled by a discrete-time dynamic output feedback control law with saturation constraints under aperiodic sampling with a proposed approach based on an impulsive system modeling and the use of looped functionals.

TL;DR: Using Lyapunov theory techniques, conditions based on linear matrix inequalities are derived to guarantee regional asymptotic stability of the equilibrium and can be incorporated in optimisation problems to choose the parameters of the trigger function aiming at reducing the sampling activity.