ECE 6754
Transcript Abbreviation:
Nonlinear Systems
Course Description:
Provides fundamental mathematical tools for the analysis of nonlinear dynamical systems. Basic techniques for the synthesis of nonlinear control systems are introduced.
Course Levels:
Graduate (5000-8000 level)
Designation:
Elective
General Education Course:
(N/A)
Cross-Listings:
(N/A)
Credit Hours (Minimum if “Range”selected):
3.00
Max Credit Hours:
3.00
Select if Repeatable:
Off
Maximum Repeatable Credits:
(N/A)
Total Completions Allowed:
(N/A)
Allow Multiple Enrollments in Term:
No
Course Length:
14 weeks (autumn or spring)
12 weeks (summer only)
Off Campus:
Never
Campus Location:
Columbus
Instruction Modes:
In Person (75-100% campus; 0-24% online)
Hybrid Class (25-74% campus; 25-74% online)
Distance Learning (100% online)
Prerequisites and Co-requisites:
(N/A)
Electronically Enforced:
No
Exclusions:
Not open to students with credit for 5754.
Course Goals / Objectives:
Develop fundamental mathematical tools for analysis of nonlinear control systems
Provide an in-depth treatment of Lyapunov and input-output stability theory for nonlinear systems
Introduce examples and applications of nonlinear system modeling and control
Introduce useful physics and engineering concepts from the theory of dissipative systems
Introduce useful engineering concepts for the study of nonlinear oscillatory phenomena
Check if concurrence sought:
No
Contact Hours:
| Topic | LEC | REC out-of-class | REC in-class | Weekly LAB out-of-class | Weekly LAB in-class |
|---|---|---|---|---|---|
| Nonlinear systems | 2.0 | 0.0 | 0 | 0.0 | 0 |
| Fundamental properties of solutions | 3.0 | 0.0 | 0 | 0.0 | 0 |
| Elementary geometric properties of solutions | 3.0 | 0.0 | 0 | 0.0 | 0 |
| Stability theory for autonomous systems | 4.0 | 0.0 | 0 | 0.0 | 0 |
| Invariance principle and asymptotic behavior | 2.0 | 0.0 | 0 | 0.0 | 0 |
| Center manifold theorems | 1.0 | 0.0 | 0 | 0.0 | 0 |
| Stability theory for non-autonomous systems | 5.0 | 0.0 | 0 | 0.0 | 0 |
| Converse Lyapunov theorems | 1.0 | 0.0 | 0 | 0.0 | 0 |
| Input-to-state stability | 3.0 | 0.0 | 0 | 0.0 | 0 |
| Input-output stability | 3.0 | 0.0 | 0 | 0.0 | 0 |
| Dissipative systems & passivity | 3.0 | 0.0 | 0 | 0.0 | 0 |
| Stability of perturbed systems | 3.0 | 0.0 | 0 | 0.0 | 0 |
| Singular perturbations and averaging | 3.0 | 0.0 | 0 | 0.0 | 0 |
| Total | 36 | 0 | 0 | 0 | 0 |
Grading Plan:
Letter Grade
Course Components:
Lecture
Grade Roster Component:
Lecture
Credit by Exam (EM):
No
Grades Breakdown:
| Aspect | Percent |
|---|---|
| Homework | 30% |
| Midterm Exam | 30% |
| Comprehensive Final Exam | 40% |
Representative Textbooks and Other Course Materials:
| Title | Author | Year |
|---|---|---|
| Nonlinear Systems | H.K. Khalil |
ABET-CAC Criterion 3 Outcomes:
(N/A)
ABET-ETAC Criterion 3 Outcomes:
(N/A)
ABET-EAC Criterion 3 Outcomes:
(N/A)
Embedded Literacies Info: