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MATH 5780: Nonlinear Systems

(Cross-listed with AERE 5780/ ME 5780/ EE 5780).
Credits: 3. Contact Hours: Lecture 3.

Linear vs nonlinear systems. Phase plane analysis. Bifurcation and center manifold theory. Lyapunov stability. Absolute stability of feedback systems. Input-output stability. Passivity theory and feedback linearization. Nonlinear control design techniques. (Typically Offered: Spring)