Course Schedule - Fall Semester 2018

     

CAAM 508 001 (CRN: 13953)

NONLINEAR SYSTEMS

Long Title: NONLINEAR SYSTEMS: ANALYSIS AND CONTROL
Department: Computational & Applied Math
Instructor: Ghorbel, Fathi H.
Meeting: 10:50AM - 12:05PM TR MEL 254 (20-AUG-2018 - 30-NOV-2018) 
Session: Full Term
Grade Mode: Standard Letter
Course Type: Lecture
Language of Instruction: Taught in English
Method of Instruction: Face to Face
Credit Hours: 3
Course Syllabus:
Course Materials: Rice Campus Store
 
Restrictions:
Must be enrolled in one of the following Level(s):
Graduate
Section Max Enrollment: 30
Section Enrolled: 0
Total Cross-list Max Enrollment: 30
Total Cross-list Enrolled: 20
Enrollment data as of: 4-DEC-2021 4:22AM
 
Additional Fees: None
 
Final Exam: GR Course-Dept Schedules Exam
 
Description: Mathematical background and fundamental properties of nonlinear systems: Vector norms, matrix norms, matrix measures, existence and uniqueness of solutions of ordinary differential equations. Linearization, second order systems, periodic solutions, approximate methods. Lyapunov stability: Stability definitions, Lyapunov's direct method, invariance theory, stability of linear systems, Lyapunov's linearization method, converse theorems. Selected topics in nonlinear systems analysis and nonlinear control from: Input/Output stability: Small gain theorem, passivity theorem. Perturbation theory, averaging, and singular perturbations. Feedback linearization control. Other methods in the control of nonlinear systems such as backstepping, sliding mode and other Lyapunov-based design methods. Advanced nonlinear and adaptive robot control. Cross-list: MECH 508, ELEC 508.