Accession Number : AD1050672

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

Descriptive Note : Technical Report,01 Oct 2011,30 Sep 2016

Corporate Author : University of California - Santa Barbara Santa Barbara United States

Personal Author(s) : Mezic,Igor

Full Text :

Report Date : 05 Oct 2017

Pagination or Media Count : 11

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.

Descriptors :   systems engineering , system of systems , energy management , computational science , nonlinear dynamics , eigenvectors , fluid mechanics , SENSOR NETWORKS , GRAPHS , DYNAMICAL SYSTEMS (TRANSFORMATIONS) , MATHEMATICAL MODELS , measurement

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE