Rui Ferreira

Discrete fractional calculus

In this talk we will start introducing the basic concepts of the Discrete Fractional Calculus, and then we make a brief survey about the results appearing in the literature so far. Later, we present our recent results within the subject and point some directions for future work.

Filipa Nogueira

Output reference tracking for MISO positive systems in general anesthesia

In this lecture a nonlinear positive control law is proposed for reference tracking in multi-input positive systems. This law proves to have a good performance in the control of the depth of anesthesia (DoA) by means of propofol and remifentanil administration, which is illustrated by several simulations.

Paula Rocha

Positive realness, Lyapunov functions and stability of switched behaviors

In this talk we define switched behavioral systems and investigate conditions for the stability of such systems under arbitrary switching. As for classical
state space systems, the existence of switched Lyapunov functions also ensures the stability in the behavioral case. Therefore it is important to derive criteria for the existence of those functions. In this talk we provide such criteria based on positive realness conditions.

Cristiana Silva

Applications of optimal control to epidemiological models

Many countries, especially those with tropical and subtropical climates, have serious epidemiological problems related to infectious diseases. 
There are several research groups working on the mathematical modeling of dynamics of infectious diseases that pose a danger to public health.
In recent years the importance and effectiveness of applying optimal control theory to epidemiological problems has been recognized.
In our research we apply optimal control theory to epidemiological problems and propose strategies that minimize the number of infected people
and the cost associated to the implementation of such strategies.