Discrete‐time control for switched positive systems with application to mitigating viral escape

Esteban Hernandez‐Vargas; Patrizio Colaneri; Richard Middleton; Franco Blanchini

doi:10.1002/rnc.1628

journal article May 23, 2011

Discrete‐time control for switched positive systems with application to mitigating viral escape

Esteban Hernandez‐Vargas Patrizio Colaneri Richard Middleton Franco Blanchini

International Journal of Robust and Nonlinear Control Vol. 21 No. 10 pp. 1093-1111 · Wiley

View at Publisher Save 10.1002/rnc.1628

Abstract

AbstractThis paper has been motivated by the problem of viral mutation in HIV infection. Under simplifying assumptions, viral mutation treatment dynamics can be viewed as a positive switched linear system. Using linear co‐positive Lyapunov functions, results for the synthesis of stabilizing, guaranteed performance and optimal control laws for switched linear systems are presented. These results are then applied to a simplified human immunodeficiency viral mutation model. The optimal switching control law is compared with the law obtained through an easily computable guaranteed cost function. Simulation results show the effectiveness of these methods. Copyright © 2010 John Wiley & Sons, Ltd.

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Metrics

360

Citations

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References

Details

Published: May 23, 2011
Vol/Issue: 21(10)
Pages: 1093-1111
License: View

Authors

E

Esteban Hernandez‐Vargas

Earth and Environmental Sciences Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, United States

F

Franco Blanchini

Cite This Article

Esteban Hernandez‐Vargas, Patrizio Colaneri, Richard Middleton, et al. (2011). Discrete‐time control for switched positive systems with application to mitigating viral escape. International Journal of Robust and Nonlinear Control, 21(10), 1093-1111. https://doi.org/10.1002/rnc.1628

Discrete‐time control for switched positive systems with application to mitigating viral escape

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