Course Schedule and Catalog

Long Title: ORDINARY DIFFERENTIAL EQUATIONS

Department: *Computational & Applied Math*

Grade Mode: Standard Letter

Course Type: Lecture

Credit Hours: 3

Description: Review of the fundamental properties of nonlinear systems, includes nonlinear ordinary differential equations (e.g., the existence and uniqueness of solution), Lyapunov stability (e.g., stability of definitions, Lyapunov's direct method, invariance theory, stability of linear systems, Lyapunov's linearization methods, and converse theorems), and input-output stability (e.g., the small gain theorem and passivity theorem), as well as case studies showing applications to nonlinear and adaptive control and robotics. Course not offered every year. Cross-list: ELEC 508, MECH 508.