Dynamics of System of Systems and Applications to Net Zero Energy Facilities

Abstract

The objective of our research is to develop a set of mathematical tools that can help solve design and analysis issues for dynamics of large-scale interconnected system of systems. These tools are a combination of operator-theoretic, geometric dynamical systems methods and graph-theoretic methods. We extend the analysis methods based on Koopman operator properties to include stable and unstable foliations and develop methods in Generalized Laplace Analysis to do so for a large class of nonlinear interconnected dynamical systems.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Oct 05, 2017
Accession Number
AD1050672

Entities

People

  • Igor Mezić

Organizations

  • University of California, Santa Barbara

Tags

Communities of Interest

  • Autonomy
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Algebra
  • Climate Change Adaptation
  • Computational Science
  • Computations
  • Detectors
  • Dynamics
  • Eigenvectors
  • Electrical Engineering
  • Energy
  • Energy Efficiency
  • Energy Management
  • Energy Systems
  • Engineering
  • Fluid Flow
  • Fluid Mechanics
  • Intellectual Property
  • Inventions
  • Machine Learning
  • Measurement
  • Mechanical Engineering
  • Mechanics
  • Nonlinear Dynamics
  • Nonlinear Systems
  • Perturbation Theory
  • System Of Systems
  • Systems Engineering

Fields of Study

  • Physics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Mathematical Modeling and Probability Theory.
  • Operations Research