/ EEM7105 - NONELINEAR SYSTEMS THEORY

Contents Of The Courses in a weekly Period

Week 
Subjects 
Sources 
1Physical examples of nonlinear systems[1] pp. 1–19
2Phase portraits in second-order systems[1] pp. 19–46
3Existence and uniqueness of the solution for a nonlinear function[1] pp. 67–78
4Sensitivity analysis of nonlinear systems[1] pp. 81–87
5Lyapunov stability theory[1] pp. 97–120
6Application of Lyapunov stability theory to linear systems[1] pp. 120–132
7Stability analysis and region of attraction[1] pp. 177–191
8Midterm Exam 
9Systems under perturbations: input–output stability[1] pp. 203–217, [1] pp. 261–284
10Periodic trajectories and system stability[1] pp. 289–308
11Stability analysis of feedback systems[2] pp. 145–168
12Feedback control[2] pp. 215–243
13State feedback control[3] pp. 56–78
14Adaptive control[4] pp. 321–348
15Observer (state estimator) design, general evaluation and course review[5] pp. 402–426, [6]