Discovery Projects - Grant ID: DP0346099

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/API/grants/DP0346099

Funding Status
Closed

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Funded Activity Summary

Multiscale Singularly Perturbed Control Systems. We propose to develop a unified averaging technique to analyse deterministic and stochastic multiscale singularly perturbed control systems. Such systems arise as mathematical models of real-world dynamical systems in which state variables can change their values with the rates of different orders of magnitude. The technique is based on the assumption that the system, which would describe the dynamics of the fast state variables if slow ones were frozen, possesses certain ergodicity properties expressed in the existence of its limit occupational measures set. Conditions for the existence of such a set will be studied and its structure will be described.

Funded Activity Details

Start Date: 2003

End Date: 12-2005

Funding Scheme: Discovery Projects

Funding Amount: $163,136.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Applied Mathematics | Systems Theory And Control

ANZSRC Socio-Economic Objective (SEO)

Macroeconomic issues not elsewhere classified | Telecommunications | Energy systems analysis |

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