Economic dynamics of reservoir sedimentation management: Optimal control with singularly perturbed equations of motion [An article from: Journal of Economic Dynamics and Control]

This digital document is a journal article from Journal of Economic Dynamics and Control, published by Elsevier in 2006. The article is delivered in HTML format and is available in your Amazon.com Media Library immediately after purchase. You can view it with any web browser.

Description:
We analyze the economic dynamics of reservoir sedimentation management using the hydrosuction-dredging sediment-removal system. System dynamics depend on two interdependent hydraulic processes evolving at different rates. The accumulation of water impounded in the reservoir evolves on a 'fast' time scale, while the loss of water storage capacity to trapped sediments evolves on a 'slow' time scale. We formulate a multidimensional optimal control problem with singularly perturbed equations of motion to accommodate the disparate time scales. We apply singular perturbation methods to approximate (via polynomial series expansion) a 'slow' manifold reducing multi-dimensional solution space to the single-dimensional subspace confining long-term dynamics.