Networked Systems for Enhanced Adaptability: Frameworks Using Switching Diffusions, Stochastic Functional and Partial Differential Equations, and Quantum Identification and Control
Abstract
Emerging technologies such as autonomous vehicles, smart transportation, intelligent electric cars, smart grids, cloud computing, smart cities, are all networked systems that integrate control, communications, and computing systems. This research project encompasses three important mathematical problems whose solutions arc essential for safe, reliable, and efficient applications of networked systems. (1) To operate under dynamically changing network links, delays in communications, and noises and errors in data, this project will examine how to extend tools on stochastic functional differential equations, which are the main models for networked systems, to accommodate random disturbances, random delays, and switching diffusions. Fundamental issues to be examined include key properties such as stability, performance, and robustness. (2) Large-scale and large-data systems need to be managed to reduce their complexity, including data storage space, computational time, communication data flow rates. This project will examine how to use multi-scale stochastic partial differential equations to reduce complexities in solving networked control problems. By grouping subsystems with fast and slow components, many complicated subsystems can be represented by their much simpler limit systems, and then simplified groups can be dealt with by using high-level analysis with much lower complexity. the new methodologies to be developed in this project will enable the treatment of networked systems subject to large disturbances, jumping discontinuity in dynamics, with much reduced computational complexity. (3) System identification reduces effects from noisy measurements and extract information about system parameters, structures, and characteristics. Based on our recent work on identifying systems with only limited information (quantized data), this project will further examine system identification incorporating quantum information structures in large-data networked systems. New methodology and techniques will be developed.
Document Details
- Document Type
- DoD Grant Award
- Publication Date
- Jan 12, 2017
- Source ID
- W911NF1510218
Entities
People
- Gang George Yin
Organizations
- Army Contracting Command
- United States Army
- Wayne State University