Understand system concepts of stability, controllability, observability, minimality, behavior, and structure.
Understand various mathematical representations of systems.
Four Basic Problems
Understand the four basic problems: Model Reduction (i.e. Approximation), System Identification (i.e. Learning), Control (i.e. Decision Making), and Verification/Validation, and how they impact each other.
Hankel Singular Values
Understand Hankel singular values and their role in balanced truncation as an approximation to optimal model reduction.
Understand Linear Matrix Inequalities and their role in various identification and control problems.
Understand the role of the Small Gain Theorem and Passivity in providing guarantees of algorithm correctness in spite of model uncertainty.