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Syllabus for “Contraction Theory for Dynamical Systems”
ME 225FB, Winter 2026
Instructor: Francesco Bullo
These numbers are with respect to the book version 1.3 dated January 1, 2026.
Chapter #1:
Exercises:
1.2 one dimensional Newtown Raphson
1.3 a continuous-time Lipschitz property
1.4 incremental small gain theorem
Chapter #2:
Exercises:
2.4 monotonic and absolute norms
2.9 formulas for the basic logarithmic norms.
2.40 mall gain condition with respect to ell2
Chapter #3:
Exercises:
3.2 properties of the one-sided Lipschitz constant
3.8 from discrete-time to continuous time contractions
3.9 norm of a contracting vector field and distance to equilibrium
Chapters #4, #5 and #6
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