Mdp for Integral Functionals of Fast and Slow Processes with Averaging

A New Control Strategy for Controlling Isolated Microgrid

Microgrid control in isolated mode is a highly important subject area. In the present paper, a new method is used for controlling the isolated microgrids. This method was used based on the classification of the microgrids into two groups, namely fast-dynamic (battery and flywheel) and slow-dynamic (diesel generator, electrolyzer, fuel cell). For the microgrid components with fast dynamics, a se...

Moderate Deviations Type Evaluation for Integral Functionals of Diffusion Processes

where Ψ and g are smooth functions, ξε t is a “fast” ergodic diffusion whileXε t is a “slow” diffusion type process, κ ∈ (0, 1/2). Under the assumption that g has zero barycenter with respect to the invariant distribution of the fast diffusion, we derive the main result from the moderate deviation principle for the family (ε−κ ∫ t 0 g(ξ ε s)ds)t≥0, ε ↘ 0 which has an independent interest as wel...

A Representation for Characteristic Functionals of Stable Random Measures with Values in Sazonov Spaces

پایش خودکار حلقه های تاج خورشید و آشکارسازی نوسانات آنها

Identification and tracking of solar coronal loops is key to understanding solar magnetic field. Slow and fast Magnetohydrodynamic oscillation of tracked loops from sequence 171Å extreme ultra – violet images was detected. The method was demonstrated using 171Å images taken by SDO/AIA on 14 August 2010 and 20 January 2012. Two dimensional continuous wavelet transform (CWT) was used to clarify ...

GENERALIZED POSITIVE DEFINITE FUNCTIONS AND COMPLETELY MONOTONE FUNCTIONS ON FOUNDATION SEMIGROUPS

A general notion of completely monotone functionals on an ordered Banach algebra B into a proper H*-algebra A with an integral representation for such functionals is given. As an application of this result we have obtained a characterization for the generalized completely continuous monotone functions on weighted foundation semigroups. A generalized version of Bochner’s theorem on foundation se...