October 17, 2014 / by George Council / In news

Accurate Control Hyperbolic

The unsteady (nonautonomous) analog of a hyperbolic fixed point is a hyperbolic trajectory, whose importance is underscored by its attached stable and unstable manifolds, which have relevance in fluid flow barriers, chaotic basin boundaries, and the long-term behavior of the system. We develop a method for obtaining the unsteady control velocity which forces a hyperbolic trajectory to follow a user-prescribed variation with time.

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August 15, 2014 / by unknown / In news

DeadBeat Control

In August of 2014, we had the opportunity to present an interesting result at the International Conference on Advanced Mechatronic Systems, held in Kumamoto, Japan.

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January 04, 2014 / by Shai Revzen / In news

Why the Trot?

Professor Revzen has been working with his collaborator Samuel Burden on extending the theory of smooth oscillators (differential equations having smooth vector fields and limit cycle behavior) to "hybrid" oscillators which aren't smooth, or even continuous.

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