The main objective of this tutorial is to present the basic concepts on the instantaneous p-q Theory and them show its applicability for controlling switching converters connected in a micro-grid. These converters can be used for connecting renewable energy sources (solar, wind, and others) to the microgrids or for harmonic, reactive power or unbalance compensation, and even for voltage regulat...

We consider energy-performance tradeoff for scheduling parallel jobs on multiprocessors using dynamic speed scaling. The objective is to minimize the sum of energy consumption and certain performance metric, including makespan and total flow time. We focus on designing algorithms that are aware of the jobs’ instantaneous parallelism but not their characteristics in the future. For total flow ti...

We introduce the concept adaptive decomposition of signals into basic building blocks, of which each of non-negative analytic instantaneous frequency, called monocomponents. We propose certain methods based on p-starlike functions and Fourier expansions for such decomposition. We justify the terminology mono-component used in signal analysis.