Linkage - International - Grant ID: LX0560049

Funding Activity

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Funded Activity Summary

Singular and Analytic Perturbations, Slow and Fast Time Scales in Control Theory and Viability Theory and their Applications. We propose an innovative approach to several important classes of mathematical problems, whose data depend analytically on small perturbation parameters. Time scale problems, and, in particular, the interaction of two types of evolution, slow and fast, arise in many scientific domains (biotechnology, physics, engineering, etc).We expect to develop new techniques for analysis and asymptotic optimisation of singularly perturbed control systems and Markov decision processes. In particular, we plan to establish links between general nonlinear optimal control problems with time average criteria and linear programming problems in the space of limit occupational measures generated by the underlying control system.

Funded Activity Details

Start Date: 2005

End Date: 11-2011

Funding Scheme: Linkage - International

Funding Amount: $62,000.00

Funder: Australian Research Council