Course Schedule and Catalog
Course Schedule - Fall Semester 2018
Meeting location information can now be found on student schedules in ESTHER (for students) or on the Course Roster in ESTHER (for faculty and instructors).Additional information available here.
Meeting location information can now be found on student schedules in ESTHER (for students) or on the Course Roster in ESTHER (for faculty and instructors).Additional information available here.
CAAM 508 001 (CRN: 13953)
NONLINEAR SYSTEMS
Long Title: NONLINEAR SYSTEMS: ANALYSIS AND CONTROL
Department: *Computational & Applied Math*
Instructor: Ghorbel, Fathi
Meeting: 10:50AM - 12:05PM TR (20-AUG-2018 - 30-NOV-2018)
Part of Term: 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: 25-APR-2024 7:59AM
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.