ECE 528 (Analysis of Nonlinear Systems) - Spring 2021

Course schedule

Here's the readings corresponding to each lecture. The assigned readings are expected; the recommended readings are highly beneficial, and optional readings are there for the very curious student. Put another way: from left-to-right, they are organized from highest priority readings to optional.

The textbooks referenced are:

Khalil, Nonlinear Systems.
Sastry, Nonlinear Systems: Analysis, Stability, and Control.
Pugh, Real Mathematical Analysis.
Lee, Introduction to Topological Manifolds.
Sontag, Mathematical Control Theory, available here: http://www.sontaglab.org/FTPDIR/sontag_mathematical_control_theory_springer98.pdf
Sontag, Input to State Stability, available here: http://www.sontaglab.org/FTPDIR/04cetraro.pdf

date	assigned reading	recommended reading	optional reading
week 1
tu, jan. 26	Khalil, Ch. 1	“How to math” document	Sastry, Ch. 1
th, jan. 28	Khalil, Appendix A	“Math background” document	Pugh, Ch. 1-5
week 2
tu, feb. 2	(cont.)	(cont.)	Lee, Appendix A, B
th, feb. 4	Khalil, Appendix B
week 3
tu, feb. 9	Khalil, Ch. 3
th, feb. 11	(cont.)
week 4
tu, feb. 16	Khalil, Ch. 4.1, some definitions from Ch. 4.5
th, feb. 18	Khalil, Ch. 4.4
week 5
tu, feb. 23	(cont.)
th, feb. 25	Khalil, Ch. 4.2
week 6
tu, mar. 2	Khalil, Ch. 4.3
th, mar. 4	Khalil, Ch. 4.5
week 7
tu, mar. 9	Khalil, Ch. 8.3
th, mar. 11	Khalil, Ch. 4.7
week 8
tu, mar. 16	Khalil, Ch. 9.1-9.2	Khalil, Ch. 9.4
th, mar. 18	Khalil, Ch. 5
week 9
tu, mar. 23	no class	Midterm exam due
th, mar. 25	no class
week 10
tu, mar. 30	Khalil, Ch. 6
th, apr. 1	Khalil, Ch. 7
week 11
tu, apr. 6	Khalil, Ch. 4.9, Sontag ISS
th, apr. 8	(cont.)
week 12
tu, apr. 13	no class
th, apr. 15	(cont.)
week 13
tu, apr. 20	Sontag MCT, Ch. 5.7, 5.9
th, apr. 22	(cont.)
week 14
tu, apr. 27	Khalil, Ch. 14.3
th, apr. 29	Khalil, Ch. 9.1-9.2
week 15
tu, may. 4	Khalil, Ch. 10.4