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Dynamics of Nonlinear Systems, Fall 2003
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Introduction to nonlinear deterministic dynamical systems. Nonlinear ordinary differential equations. Planar autonomous ...

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.

Subject:
Engineering
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Provider:
M.I.T.
Provider Set:
M.I.T. OpenCourseWare
Author:
Megretski, Alexandre