On the initial conditions in continuous-time fractional linear systems

Signal Processing, Vol. 83, nº 11

A new approach to the initial value problem

5th Portuguese Conference on Automatic Control, September, 5-7, 2002, Aveiro, Portugal

On divisors of pseudovarieties generated by some classes of full transformation semigroups

Algebra Colloquium, 15 (2008), p. 581–588

An existence result for discontinuous games

We introduce a notion of upper semicontinuity, weak upper semicontinuity, and show that it, together with a weak form of payoff security, is enough to guarantee the existence of Nash equilibria in compact, quasiconcave normal form games. We show that our result generalizes the pure strategy existence theorem of Dasgupta and Maskin (1986) and that it is neither implied nor does it imply the existence theorems of Baye, Tian, and Zhou (1993) and Reny (1999). Furthermore, we show that an equilibrium may fail to exist when, while maintaining weak payoff security, weak upper semicontinuity is weakened to reciprocal upper semicontinuity.

Study of the electromyographic signal dynamic behavior in Amyotrophic Lateral Sclerosis (ALS)

Amyotrophic Lateral Sclerosis (ALS) is a neurodegenerative disease characterized by motor neurons degeneration, which reduces muscular force, being very difficult to diagnose. Mathematical methods are used in order to analyze the surface electromiographic signal’s dynamic behavior (Fractal Dimension (FD) and Multiscale Entropy (MSE)), evaluate different muscle group’s synchronization (Coherence and Phase Locking Factor (PLF)) and to evaluate the signal’s complexity (Lempel-Ziv (LZ) techniques and Detrended Fluctuation Analysis (DFA)). Surface electromiographic signal acquisitions were performed in upper limb muscles, being the analysis executed for instants of contraction for ipsilateral acquisitions for patients and control groups. Results from LZ, DFA and MSE analysis present capability to distinguish between the patient group and the control group, whereas coherence, PLF and FD algorithms present results very similar for both groups. LZ, DFA and MSE algorithms appear then to be a good measure of corticospinal pathways integrity. A classification algorithm was applied to the results in combination with extracted features from the surface electromiographic signal, with an accuracy percentage higher than 70% for 118 combinations for at least one classifier. The classification results demonstrate capability to distinguish members between patients and control groups. These results can demonstrate a major importance in the disease diagnose, once surface electromyography (sEMG) may be used as an auxiliary diagnose method.

Macro determinants of nonperforming loans in Portugal

This study uses a VAR methodology to evaluate the impact of the macroeconomic conditions and money supply in the fluctuation of nonperforming loans for the Portuguese economy. Additionally, the feedback effect of nonperforming loans growth to the economy and specially to the credit supply is analised. The study is motived by the hypothesis that loan quality is procyclical and that the fast growth of credit supply has a positive relation with the growth of nonperforming loans. The hypothesis that nonperforming loans reinforce economic fragilities and credit market frictions is also tested. Empirical results corroborate both hypothesis presented. Hence, it was possible to establish that the macroeconomic conditions measured by GDP and unemployment and the fast growth of credit supply contribute to the development of nonperforming loans. Furthermore, the growth of nonperforming loans reinforces the economic cycle, as it contributes to the deterioration of macroeconomic conditions and creates frictions in the credit market that may results in a credit crunch.