Thursday, July 18, 2013

Lyapunov Functions - Scary Russian Function Not!

What's a Lyapunov function

The existence of a Lyapunov function for a model or system means that the system will hit equilibrium.

The elements of such a system include:
  1. A maximum
  2. A Lyapunov function
  3. A property such that if something moves, it will always increase by k

How do cities self-organize such that queues are reasonable?

Answer: A Lyapunov function exists that explains how the city moves to equilibrium.

Applications of Lyapunov function

List of applications
  1. Self-organizing cities
  2. Exchange Economies
  3. Arms trading

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