ECE 528
ECE 528 - Analysis of Nonlinear Systems
Spring 2024
| Title | Rubric | Section | CRN | Type | Hours | Times | Days | Location | Instructor |
|---|---|---|---|---|---|---|---|---|---|
| Analysis of Nonlinear Systems | ECE528 | R | 33986 | DIS | 4 | 1100 - 1220 | T R | 3020 Electrical & Computer Eng Bldg | Daniel M Liberzon |
| Analysis of Nonlinear Systems | ME546 | R | 33988 | DIS | 4 | 1100 - 1220 | T R | 3020 Electrical & Computer Eng Bldg | Daniel M Liberzon |
| Analysis of Nonlinear Systems | SE520 | R | 67986 | DIS | 4 | 1100 - 1220 | T R | 3020 Electrical & Computer Eng Bldg | Daniel M Liberzon |
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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 ME 546 and SE 520. 4 graduate hours. No professional credit. Prerequisite: ECE 515 and MATH 444 or MATH 447.
Subject Area
- Control Systems
Course Director
Description
Nonlinear dynamic systems; phase plane and nonlinear phenomena; stability; invariance theory; asymptotic methods; feedback design.
Notes
Same as: ME 546; GE 520
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
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
1/11/2015