817 Nonlinear Systems. II, Odd Yrs; 3 cr. Modern
analytical (Kryloff, Van der Pol, Poincare, Ritz,
Galerkin, etc.), topological, graphical, and
programmatical methods; general theory of nonlinear
resonance, oscillation, parametric-excitation,
synchronization; asymptotic, orbital, local and global
stability theory; illustrative applications. P: ECE 717
or equiv.
Course Prerequisite(s)
See catalog description above.
Course objectives
This course is intended for graduate students interested in the nonlinear systems fundamentals. A basic familiarity with
linear systems concepts (see ECE 717) is assumed. Coverage of the material will be suitable for students outside ECE.
Topics covered
Since Fall 2000, the following course description has been in effect:
Modelling nonlinear systems, linearization, equilibria,
solution concepts, phase plane analysis, stability concepts,
Lyapunov methods, oscillations, vector space methods, control system nonlinearities and design. Selected topics from the following: input-output methods, switching and variable structure systems, feedback linearization, and Lyapunov robustness.
