Course Description
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.
Lecture Notes
Input/Output and State-Space Models
Differential Equations as System Models
Continuous Dependence on Parameters
Lyapunov Functions and Storage Functions
Source
Megretski, Alexandre. 6.243J Dynamics of Nonlinear Systems, Fall 2003. (Massachusetts Institute of Technology: MIT OpenCourseWare),http://ocw.mit.edu (Accessed 01 Aug, 2012). License: Creative Commons BY-NC-SA
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