Chapter #1: Generalities, state space derivation, nonlinear dynamic systems, graphical approach, elements of bifurcation and chaos, linearization, numerical examples with Matlab.
Chapter #2: Linear algebra review, solution of linear systems in state space format. Structural properties, stability, controllability and observability. Modal coordinates, Kalman decomposition, numerical examples.
Chapter #3: Review of control theory. Full state, feedback, static output feedback, state estimators, dynamic output feedback. Elements of eigenstructure assignment. Relationship with robustness (elements).
Chapter #4: Elements of optimization, optimal control, linear quadratic regulator (LQR), asymptotic properties. Linear quadratic Gaussian problem (LQG), continuous Kalman filter, numerical examples.