Model Predictive Regulation

We show how optimal nonlinear regulation can be achieved in a model predictive control fashion

Hybrid Quasicrystals, Transport and Localization in Products of Minimal Sets

We consider convex combinations of finite-valued almost periodic sequences (mainly substitution sequences) and put them as potentials of one-dimensional tight-binding models. We prove that these sequences are almost periodic. We call such combinations {\em hybrid quasicrystals} and these studies are related to the minimality, under the shift on both coordinates, of the product space of the respective (minimal) hulls. We observe a rich variety of behaviors on the quantum dynamical transport ranging from localization to transport.Comment: 3 figures. To appear in Journal of Stat. Physic

K-12 Florida Christian Schools in Crisis: A Correlational Study of Educational Leadership during the COVID-19 Pandemic

K-12 Florida Christian schools were disrupted due to the advent of a global crisis brought about by the COVID-19 pandemic. Flexibility was needed by educational leadership during this time of crisis. For that reason, this study will aim to understand the leadership principles necessary to provide leaders with the flexibility to adapt to extreme circumstances. The literature addresses the leader’s importance of being flexible during a crisis (Ruffner & Huizing, 2016). However, the literature continues to examine the effects of the pandemic on education but has not identified those contingencies that are necessary for leaders in the Christian educational system to face a crisis. Transformational leadership is a powerful way to influence the process utilized by leaders as it “persuades followers to adopt certain behaviors in order to bring about what the leader considers as beneficial change” (Bush, 2018, p. 883). The design that was utilized for this study was a quantitative correlational approach, which was used to measure the degree of relationship between two or more variables (Creswell, 2019). The research and data analyzed aimed at finding if there was a correlation between leadership principles and the contingencies necessary to ensure flexibility when dealing with a crisis for both the research literature and practical applications to educational leadership