Finite state bilinear systems are described by a system of differential equations which are linear in state, linear in control, but not jointly linear in both as are traditional linear systems. An introduction to the physical relevance of these systems, their controllability and optimal control is analyzed in references [i] and [2]. It is shown that linear system controllability and performance...

The filtering problem is among the fundamental issues in control and signal processing. Several approaches such as H2 optimal filtering and H∞ optimal filtering have been developed to address this issue. While the optimal H2 filtering problem has been extensively studied in the past for linear systems, to the best of our knowledge, it has not been studied for bilinear systems. This is indeed su...

Biomedical datasets usually include a large number of features relative to the number of samples. However, some data dimensions may be less relevant or even irrelevant to the output class. Selection of an optimal subset of features is critical, not only to reduce the processing cost but also to improve the classification results. To this end, this paper presents a hybrid method of filter and wr...

Abstract In this article, we propose an optimal control scheme for information epidemics with stochastic uncertainties aiming at maximizing diffusion and minimizing the consumption. The epidemic dynamics is represented by a network Susceptible-Infected-Susceptible (SIS) model contaminated both process observation noises to describe perturbed disease-like process. To reconstruct system states, d...