ENEE 661 - Nonlinear Control Systems (P. S. Krishnaprasad)
# ENEE 661 - Nonlinear Control Systems

## Spring 2008

Last Update January 21, 2008

## Course Information

## Weekly Lecture Notes by P. S. Krishnaprasad

## Lecture 1 (what is nonlinear behavior?)

## Lecture 2 (planar systems, Hartman-Grobman theorem, Poincare-Bendixson theorem)

## Lecture 3 (index of a plane vector field, elements of bifurcations)

## Lecture 4, part (ii) (some concepts and theorems from elementary analysis)

## Lecture 5, part (i) (stability of equilibria, basic theorems of Lyapunov and related results)

## Lecture 6 part (ii) (time-varying linear systems, a converse Lyapunov theorem, Floquet theory of periodic linear systems)

## Lecture 7 (input-output stability)

## Lecture 8 (absolute stability, the Lure' problem, positive real lemma)

## Lecture 8 (absolute stability, circle criterion, Popov criterion, multipliers)

## Lecture 9 (center manifold reduction)

## Lecture 10 (feedback linearization)

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## Homework Assignments

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## Homework solutions:

## For Matlab problems please remember to include your code, too.
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## Some interesting resources on the web

My lecture notes on Optimal Control

Real Analysis material useful throughout the course

About Stefan Banach

About A. M. Lyapunov

About G. D. Birkhoff