Course Schedule and Catalog

Department: *Computational & Applied Math*

Grade Mode: Standard Letter

Course Type: Lecture

Credit Hours: 3

Description: ORDINARY DIFFERENTIAL EQUATIONS ***** Review of the fundamental properties of nonlinear systems, includes nonlinear ordinary differential equations (e.g., the existence and uniquences of solution), Lyapunov stability (e.g., stability of definitions, Lyapunov's direct method, invariance theory, stability of linear systems, Lyapunov's linerizatin methods, and converse theorems), and inpur-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. ***** Also offered as MECH 508 and ELEC 508.