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Statistical Methods in Estimation and Control

Project Member(s): Bishop, A.

Funding or Partner Organisation: National ICT Australia

Start year: 2015

Summary: Idea: Summarising the information encoded in a collection of (probability) distributions is a fundamental problem in statistics, estimation, control theory, machine learning, computer vision, and data fusion. Approach: This project is developing methods to compute an average probability distribution that captures in a single distribution the information encoded in a collection of input data.

Publications:

Bertoli, F & Bishop, AN 2018, 'Nonlinear stochastic receding horizon control: stability, robustness and Monte Carlo methods for control approximation', International Journal of Control, vol. 91, no. 10, pp. 2387-2402.
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Bishop, AN, Del Moral, P & Pathiraja, SD 2018, 'Perturbations and projections of Kalman–Bucy semigroups', Stochastic Processes and their Applications, vol. 128, no. 9, pp. 2857-2904.
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Houssineau, J & Bishop, AN 2018, 'Smoothing and filtering with a class of outer measures', SIAM/ASA Journal on Uncertainty Quantification, vol. 6, no. 2, pp. 845-866.
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Bishop, AN & Del Moral, P 2017, 'On the stability of kalman-bucy diffusion processes', SIAM Journal on Control and Optimization, vol. 55, no. 6, pp. 4015-4047.
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Shao, J, Qin, J, Bishop, AN, Huang, T-Z & Zheng, WX 2016, 'A novel analysis on the efficiency of hierarchy among leader-following systems', AUTOMATICA, vol. 73, pp. 215-222.
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Bertoli, F & Bishop, AN 2015, 'Monte Carlo Methods for Controller Approximation and Stabilization in Nonlinear Stochastic Optimal Control', IFAC Proceedings Volumes (IFAC-PapersOnline), vol. 48, no. 28, pp. 811-816.
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Deghat, M & Bishop, AN 2015, 'Distributed shape control and collision avoidance for multi-agent systems with bearing-only constraints', 2015 European Control Conference, ECC, European Control Conference, IEEE, Linz, Austria, pp. 2342-2347.
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FOR Codes: Statistical Theory, Calculus of Variations, Systems Theory and Control Theory, Expanding Knowledge in the Mathematical Sciences