Pdg Control Updates

Resolving S < D

Code updates

octokit

Reading

  • Macksamie, K., Cockburn, J., & Wagner, J. (2012). Robust control amidst stock and flow benefits: The case of wolf-elk-hunting dynamics in the US Mountain West. 2012 AERE Summer Conference, Asheville, NC (pp. 1-33). Retrieved from https://www.webmeets.com/files/papers/AERE/2012/3/AEREConfPaper05172012.pdf

The Linear parameter varying (LPV) approach which allows this problem to leverage a standard LMI (linear matrix inequality) solver seeems like a clever route, but unclear if this would be restricted to the additive noise models such as they consider?

Some background on LPV:

  • Becker, G., & Packard, A. (1994). Robust performance of linear parametrically varying systems using parametrically-dependent linear feedback. Systems & Control Letters, 23(3), 205-215. doi:10.1016/0167-6911(94)90006-X

  • Brock, W. a., & Durlauf, S. N. (2005). Local robustness analysis: Theory and application. Journal of Economic Dynamics and Control, 29(11), 2067-2092. doi:10.1016/j.jedc.2005.06.001

An interesting example handling Knightian uncertainty about the model directly:

  • Athanassoglou, S., & Xepapadeas, A. (2012). Pollution control with uncertain stock dynamics: When, and how, to be precautious. Journal of Environmental Economics and Management, 63(3), 304-320. doi:10.1016/j.jeem.2011.11.001