ECE 528
Analysis of Nonlinear Systems

Section Type Times Days Location Instructor
R DIS 1230 - 1350 T R   1105 Siebel Center for Comp Sci  Alexander Olshevsky
Web Page http://decision.csl.uiuc.edu/~liberzon/09ECE528.html
Official Description Nonlinear dynamics, vector fields and flows, Lyapunov stability theory, regular and singular perturbations, averaging, integral manifolds, input-output and input-to-state stability, and various design applications in control systems and robotics. Course Information: Same as GE 520 and ME 546. Prerequisite: ECE 515 and MATH 444 or MATH 447.
Subject Area Control Systems
Course Prerequisites Credit in ECE 515
Credit in MATH 285
Course Directors Daniel M Liberzon
Detailed Description and Outline

Topics:

  • Basic definitions; review of basic theory of differential equations; phase plane analysis and nonlinear phenomena
  • Stability definitions; Lyapunov's stability; region of attraction; stability of perturbed systems; input-to-state and input-output stability
  • Asymptotic methods, including averaging and singular perturbations; time scale separation.
  • Selected topics on analysis and design of feedback systems, with applications

Same as: ME 546; GE 520

Texts
H.K. Khalil, Nonlinear Systems Analysis, 2nd ed., Prentice-Hall, 1996.
Last updated: 2/13/2013