- Author
- Frey, M. R. R. | Simiu, E.
- Title
- Phase Space Transport and Control of Escape From a Potential Well.
- Coporate
- Bucknell Univ., Lewisburg, PA National Institute of Standards and Technology, Gaithersburg, MD
- Journal
- Physica D, Vol. 95, 128-143, 1996
- Keywords
- building technology | escape | control systems | dynamical systems | Melnikov function | stochastic differential equations | stability | chaos
- Abstract
- A framework for controlling a nonlinear dynamical system against escape from a potential well is presented based on reducing the phase space transport across the separatrix associated with the potential well. A bandlimited open-loop control with finite lag is considered for systems with weak additive stationary forcing including, specifically, the colored Gaussian case. The related multiplicative, closed-loop control problem is shown to reduce to an open-loop problem. A numerical example based on the Duffing oscillator is presented to illustrate the theory.