Transition probabilities within a birth and death process are difficult to find analytically. As a consequence pure birth and pure death processes are considered in seperate systems and it is found that both systems can be fully specified from intensity specifications. In a linear continuous-time Markovian pure death process it is found that optional death times are independent. Faddy (1985) co...

In optical non-linear processes rogue waves can be observed, which mathematically described by heavy-tailed distributions. These distributions are special due to the fact that probability of registering extremely high intensities is significantly higher than for exponential distribution, most commonly observed in statistical and quantum optics. The current manuscript gives a practical overview ...

Aalto University, P.O. Box 11000, FI-00076 Aalto www.aalto.fi Author Jouni Hartikainen Name of the doctoral dissertation Sequential Inference for Latent Temporal Gaussian Process Models Publisher School of Science Unit Department of Biomedical Engineering and Computational Science Series Aalto University publication series DOCTORAL DISSERTATIONS 14/2013 Field of research Computational Engineeri...

The current research on iterative learning control focuses the condition where system relative degree is equal to 1, while 0 or greater than 1 not considered. Therefore, this paper studies monotonic convergence of corresponding dynamic controller systematically for discrete linear repetitive processes with different degrees. First, a 2D Roesser model presented by means systems theory. Then, con...

in this study, liquid-liquid extraction process in a kuhni extraction column was modeled and simulated. a non-equilibrium dynamic model was developed for modeling liquid-liquid extraction processes based on a rate-based model. the model equations are inclusive of partial and ordinary differential equations which were discretized in column height direction. the population balance model was used ...