| EPSRC Reference: |
GR/M98357/01 |
| Title: |
NEW METHODOLOGIES IN STABILITY OF STOCHASTIC SYSTEMS WITH APPLICATIONS IN ADAPTIVE CONTROL |
| Principal Investigator: |
Townley, Professor S |
| Other Investigators: |
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| Researcher Co-Investigators: |
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| Project Partners: |
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| Department: |
Mathematical Sciences |
| Organisation: |
University of Exeter |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
23 February 2000 |
Ends: |
22 October 2001 |
Value (£): |
42,528
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| EPSRC Research Topic Classifications: |
| Mathematical Analysis |
Non-linear Systems Mathematics |
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| EPSRC Industrial Sector Classifications: |
| No relevance to Underpinning Sectors |
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| Related Grants: |
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| Panel History: |
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Summary on Grant Application Form |
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We would start by introducing each of the team to the relevant background in random attractors, stochastic stability, adaptive control and stochastic modelling of bio-reactors. This would be based around seminars led by the visiting fellow and would involve post-graduate students as part of their training. Then, working together with the visiting fellow, a theory of stability for non-linear stochastic input/state/output systems should be established using Lyapunov function candidates combined with integral invariance principles. Finally, in analogy to the deterministic case, applying the achieved results to ??-tracking should then lead to further impetus in developing our stability theory, leading to a rigorous theory of adaptive control for certain classes of stochastic systems especially those with stable in probability zero dynamics or systems with solutions bounded in probability.
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Key Findings |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Potential use in non-academic contexts |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Impacts |
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| Description |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk |
| Summary |
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| Date Materialised |
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Sectors submitted by the Researcher |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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| Project URL: |
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| Further Information: |
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| Organisation Website: |
http://www.ex.ac.uk |