Novel mathematical methods for modeling, controling, and predicting complexity in nature and society
Abstract
A proposal to study and develop novel mathematical methods for modeling, controling, and predicting complexity in nature and society. The main mutually related areas of research will be the following: (a) development of the theory, methods, and tools for porous functions, and the work on linking the porous functions, fractals, and fractional-order models of real-world processes and systems; (b) development of mathematical methods for design, tuning and implementation of fractional-order controllers, and the work on using porous functions for modeling and design of modern implementations of fractional-order controllers (e.g., composite materials, nanomaterials, ect.); (c) development of novel methods and tools for signal sampling, processing, and prediction based on the idea of stochastic sampling of fractional order, and on sampling based on porous functions.
Document Details
- Document Type
- DoD Grant Award
- Publication Date
- Sep 13, 2022
- Source ID
- W911NF2210264
Entities
People
- Igor Podlubny
Organizations
- Army Contracting Command
- Technical University of Košice
- United States Army