Manuel De la Sen

TL;DR: In this article, the problem of designing an observer-based robust controller to stabilize flexible structures with bounded parametric uncertainties, nonlinearities and external excitations is addressed, where the controller design involves the solution of two algebraic Riccati equations and it reduces to the standard LQG design procedure if the system contains no uncertainties.

TL;DR: Asymptotic hyperstability is achievable under certain switching laws if at least one of the feed-forward parameterization possesses a strictly positive real transfer function and a minimum residence time interval is respected.

TL;DR: In this article, a decentralized observer-based output switching controller is presented for uncertain discrete-time switching similar composite systems with arbitrary switching rule, and it is proved that when this controller is implemented into each subsystem of the original system then such decentralized controller asymptotically stabilizes the overall closed-loop system under arbitrary switching.

TL;DR: A time-varyingSIS propagation disease model exhibiting a nonlinear incidence rate and impulsive eventual culling of both populations so that the individuals recover with no immunity to the disease.

TL;DR: This paper investigates the error between the approximate and exact solutions of a class of nonlinear differential equations which possess unique solution on a certain interval for any admissible initial conditions.