To understand the method for calculating the Lyapunov exponent of a human gait system several key characteristics found in the walking motion of humans should be mentioned. First it should be understood that human gait by nature, is a nonlinear dynamical system. In previous studies (England, et al) it has also been observed that human gait, in order to maintain stability must exhibit roughly periodic behavior. It is because of this non-linear, periodic behavior that the Lyapunov exponent is relevant in analysis of such a system.
This optimization project comes from the Honeywell Chemical Plant in Geismer, LA, a major producer of HF. The plant is seeking to optimize the effectiveness of plant operations by examining their hourly operation data to find what factors are limiting production and increasing unnecessary downtime.