MAE department

MAE 281A. Nonlinear Systems (4 units)

Link to catalog page: https://catalog.ucsd.edu/courses/MAE.html#mae281a

Description

Existence and uniqueness of solutions of EDE’s, sensitivity equations. Stability, direct and converse Lyapunov theorems, LaSalle’s theorem, linearization, invariance theorems. Center manifold theorem. Stability of perturbed systems with vanishing and nonvanishing perturbations, input-to-state ability, comparison method. Input-output stability. Perturbation theory and averaging. Singular perturbations. Circle and Popov criteria. Prerequisites: MAE 280A.

Prerequisite courses

Successor courses

MAE 281A is a prerequisite of the following 2 courses:

• MAE 281B
• MAE 286