 Lecture 1: (Linear timevarying control systems and linearization)
 Lecture 2: (Review: complete metric spaces)
 Lecture 3: (Banach fixed point theorem)
 Lecture 4: (Existence and uniqueness of solutions in general case)
 Lecture 5: (PicardLindelöf theorem)
 Lecture 6: (Existence and uniqueness of solutions for linear timevarying systems)
 Lecture 7: (Transition matrices and PeanoBaker series)
 Lecture 8: (Properties of transition matrices)
 Lecture 9: (Controllability of linear timevarying systems I)
 Lecture 10: (Controllability of linear timevarying systems II)
 Lecture 11: (Controllability of linear timeinvariant systems)
 Lecture 12: (Observability of linear timevarying systems)
 Lecture 13: (Weighting patterns, WeissKalmanYoula I)
 Lecture 14: (Weighting patterns, WeissKalmanYoula II)
 Lecture 15: (Minimal realization for LTI control systems I)
 Lecture 16: (Minimal realization for LTI control systems II)
 Lecture 17: (Characterization of LTI transfer functions)
 Lecture 18: (Realization of LTI transfer functions)
 Lecture 19: (Feedbacks I)
 Lecture 20: (Feedbacks II)
 Lecture 21: (Pole placement for multiinput LTI control systems)
 Lecture 22: (Detectability and stabilizability)
 Lecture 23: (Luenberger observer and observerbased controllers)
 Lecture 24: (Optimal control and calculus of variations)
 Lecture 25: (History of calculus of variations: Form Dido's isoperimetric problem to EulerLagrange)
 Lecture 26: (Optimal control with quadratic costs)
 Lecture 27: (Free endpoint problem)
 Lecture 28: (The Riccati equations)
 Lecture 29: (Fixed endpoint problem)
 Lecture 30: (Infinite horizon optimal control and the Linear Quadratic Regulators I)
 Lecture 31: (Extensions of solutions to the Riccati equation)
 Lecture 32: (The algebraic Riccati equation)
 Lecture 33: (Infinite horizon optimal control and the Linear Quadratic Regulators II)
 Lecture 34: (Dynamic programming and the HamiltonJacobiBellman equations)
 Lecture 35: (Sufficient conditions for optimality)
 Lecture 36: (The Riccati equations via HamiltonJacobiBellman)
