Lecture notes

Disclaimer: these notes are taken by the TA in an effort to help you get a better idea of what is going on in the class.

Lec 1: system definition, basic system properties	PDF File
Lec 2: state-space models, linearization	PDF File
Lec 3: discretization, solution to DT systems, Z transform	PDF File
Lec 4: Z transform (cont'd), (pulse) transfer function	PDF File
Lec 5: similarity transformations, modal decomposition	PDF File
Lec 6: solution to CT system, state-transition matrix	PDF File
Lec 7: Laplace transform, transfer function	PDF File
Lec 8: impulse response, (internal) stability	PDF File
Lec 9: stability (cont'd), Lyapunov direct method	PDF File
Lec 10: Lyapunov direct method (stability proof)	PDF File
Lec 11: Lyapunov direct method (LTI case)	PDF File
Lec 12: algebraic Lyapunov equation	PDF File
Lec 13: Lyapunov indirect method	PDF File
Lec 14: signal measures	PDF File
Lec 15: input-output stability	PDF File
Lec 16: L2 induced norm (Hinf norm)	PDF File
Lec 17: singular value decomposition (overview)	PDF File
Lec 18: input-output directions, H2 norm	PDF File
Lec 19: interconnections	PDF File
Lec 20: feedback interconnections	PDF File
Lec 21: general feedback interconnection	PDF File
Lec 22: DT reachability	PDF File
Lec 23: canonical form for unreachable systems, PBH test	PDF File
Lec 24: Reachability ellipsoid, minimum energy control	PDF File
Lec 25: CT reachability	PDF File
Lec 26: DT observability	PDF File
Lec 27: Observability ellipsoid, PBH test, CT observability	PDF File
Lec 28: State-feedback design, pole-placement	PDF File
Lec 29: Asymptotic state observers	PDF File
Lec 30: Output feedback controller, separation principle	PDF File
Lec 31: Linear Quadratic Regulator (LQR)	PDF File