6.243J | Fall 2003 | Graduate

Dynamics of Nonlinear Systems

Lecture Notes



Lecture 11: Lyapunov analysis,which uses monotonicity of a given function of system state along trajectories of a given dynamical system,is a major tool of nonlinear system analysis. It is possible,however,to use monotonicity of volumes of subsets of the state space to predict certain properties of system behavior.This lecture gives an introduction to such methods.

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