Idempotent Methods for Continuous Time Nonlinear Stochastic Control.

摘要

The recent successes of max-plus and more general idempotent structures for attacking nonlinear control problems offer the potential for revolutionary improvements in our ability to design and implement nonlinear controls for real applications. This effort has focused on theoretical foundations for the application of max-plus arithmetic in stochastic settings, as well as numerical methods of approximation. In addition, a number of related issues in stochastic control have been considered. One problem of particular interest has been in the stability of estimation in stochastic adaptive control, and another has been in max-plus approaches for sensing, especially distributed sensing.