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Reverse Engineering Combination Therapies for Evolutionary Dynamics of Disease: An Hinfty Approach
Abstract We propose a general algorithm for the sys …
We propose a general algorithm for the systematic design of feedback strategies to stabilize the evolutionary dynamics of a generic disease model using an H1 approach. We show that designing antibody concentrations can be cast as an H1 state feedback synthesis problem, where the feedback gain is constrained to not only be strictly diagonal, but also that its diagonal elements satisfy an overdetermined set of linear equations. Leveraging recent results in positive systems, we additionally show that our algorithm always converges to a stabilizing controller.
ays converges to a stabilizing controller.  +
Authors Vanessa Jonsson, Nikolai Matni and Richard M. Murray  +
Funding ARO ICB 2008 +
ID 2013b  +
Source 2013 Conference on Decison and Control (CDC)  +
Tag jmm13-cdc  +
Title Reverse Engineering Combination Therapies for Evolutionary Dynamics of Disease: An Hinfty Approach +
Type Conference Paper  +
Categories Papers
Modification date
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10 June 2016 05:18:40  +
URL
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http://www.cds.caltech.edu/~murray/preprints/jmm13-cdc.pdf  +
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Reverse Engineering Combination Therapies for Evolutionary Dynamics of Disease: An Hinfty Approach + Title
 

 

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