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MA50061: Optimal control

Follow this link for further information on academic years Academic Year: 2019/0
Further information on owning departmentsOwning Department/School: Department of Mathematical Sciences
Further information on credits Credits: 6      [equivalent to 12 CATS credits]
Further information on notional study hours Notional Study Hours: 120
Further information on unit levels Level: Masters UG & PG (FHEQ level 7)
Further information on teaching periods Period:
Semester 2
Further information on unit assessment Assessment Summary: CW 25%, EX-TH 75%*
Further information on unit assessment Assessment Detail:
  • Coursework* (CW 25%)
  • Open Book Examination with a Duration of 24 hours* (EX-TH 75%)

*Assessment updated due to Covid-19 disruptions
Further information on supplementary assessment Supplementary Assessment:
Like-for-like reassessment (where allowed by programme regulations)
Further information on requisites Requisites: In taking this module you cannot take MA30061 OR take MA40061
Further information on descriptions Description: Aims:
To introduce methods of optimal control, to explain their theoretical basis and give an appreciation of the variety of areas in which they are applicable.

Learning Outcomes:

* Recognise practical problems where optimal control methods can be used effectively.
* Apply appropriate optimal control methods.
* Justify calculations by appealing to relevant theorems.
* Write the relevant mathematical arguments in a precise and lucid fashion.

Numeracy T/F A Problem Solving T/F A Written and Spoken Communication F

Formulation of the general optimal control problem. Sufficient conditions for the existence of an optimal control. The Pontryagin maximum principle: necessary conditions satisfied by an optimal control and sufficiency under additional convexity assumptions. Dynamical programming and the Bellman-Hamilton-Jacobi equation. The quadratic-cost control problem for linear systems. Illustration of the theory by examples. Applications to biology, economics, engineering and physics.
Further information on programme availabilityProgramme availability:

MA50061 is Optional on the following programmes:

Department of Mathematical Sciences