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Dynamics of Nonlinear Systems, Fall 2003Dynamics of Nonlinear Systems, Fall 2003

Author:
Subject:
Science and Technology
Institution Name:
M.I.T.
Collection:
MIT OpenCourseWare
Grade Level:
Post-secondary
Abstract:

Introduction to nonlinear deterministic dynamical systems. Nonlinear ordinary differential equations. Planar autonomous systems. Fundamental theory: Picard iteration, contraction mapping theorem, and Bellman-Gronwall lemma. Stability of equilibria by Lyapunov's first and second methods. Feedback linearization. Application to nonlinear circuits and control systems. Alternate years. Description from course website: This course provides an introduction to nonlinear deterministic dynamical systems. Topics covered include: nonlinear ordinary differential equations; planar autonomous systems; fundamental theory: Picard iteration, contraction mapping theorem, and Bellman-Gronwall lemma; stability of equilibria by Lyapunov's first and second methods; feedback linearization; and application to nonlinear circuits and control systems.

Languages:
English
Material Type:
Assessments, Full Course, Homework and Assignments, Lecture Notes, Syllabi
Media Format:
Text/HTML, Downloadable docs
Conditions of Use:
Creative Commons Attribution-Noncommercial-Share Alike 3.0
Creative Commons Attribution-Noncommercial-Share Alike 3.0

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