On the optimal control problem for a class of monotone bilinear systems
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Date
2016
Publication Type
Conference Paper
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yes
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Abstract
We consider a class of positive systems in which the control signal enters bilinearly with the state. Such dynamics arise naturally, for example, from modeling the evolutionary dynamics of HIV in the presence of drug therapy. For this class of system, we formulate an infinite horizon optimal control problem and show that the optimal control signal is constant over time. We further extend our results to the case of uncertain dynamics and provide a characterization of the optimal robust controller.
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published
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Book title
Proceedings of the 22nd International Symposium on Mathematical Theory of Networks and Systems
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Volume
Pages / Article No.
411 - 413
Publisher
University of Minnesota
Event
22nd International Symposium on Mathematical Theory of Networks and Systems (MTNS 2016)
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Organisational unit
08814 - Smith, Roy (Tit.-Prof.) (ehemalig) / Smith, Roy (Tit.-Prof.) (former)
Notes
Conference lecture held on July 14, 2016
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Is part of: https://hdl.handle.net/11299/181518