Dynamics of System of Systems and Applications to Net Zero Energy Facilities
[Technical Report, Final Report]
University of California - Santa Barbara
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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.
- Theoretical Mathematics