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101. On the Existence of Positive Linear Observers for Positive Linear Systems.

Author

Commault, Christian, Marchand, Nicolas, Back, Juhoon, and Astolfi, Alessandro

Abstract

This paper investigates the relation between the spectrum of the system matrix of a positive linear system and the existence of positive linear observers. We only consider single output case. It is shown that a positive linear system admits a Luenberger type positive linear observer only if the number of nonnegative real eigenvalues of the system matrix is at most one. Moreover, we provide a necessary condition on the existence of positive linear observers which employ a coordinates transformation and whose system matrices are diagonal. [ABSTRACT FROM AUTHOR]

Published
2006
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102. On the Existence of Positive Linear Observers for Positive Linear Systems.

Author

Thoma, M., Morari, M., Commault, Christian, Marchand, Nicolas, Back, Juhoon, and Astolfi, Alessandro

Abstract

This paper investigates the relation between the spectrum of the system matrix of a positive linear system and the existence of positive linear observers. We only consider single output case. It is shown that a positive linear system admits a Luenberger type positive linear observer only if the number of nonnegative real eigenvalues of the system matrix is at most one. Moreover, we provide a necessary condition on the existence of positive linear observers which employ a coordinates transformation and whose system matrices are diagonal. [ABSTRACT FROM AUTHOR]

Published
2006
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104. DESIGN OF POSITIVE LINEAR OBSERVERS FOR POSITIVE LINEAR SYSTEMS VIA COORDINATE TRANSFORMATIONS AND POSITIVE REALIZATIONS.

Author

Back, Juhoon and Astolfi, Alessandro

Subjects
*POSITIVE systems, *LINEAR systems, *MATHEMATICS education, *LINEAR differential equations, *SYSTEMS theory, *MATHEMATICAL transformations, *SYSTEMS engineering
Abstract

Two new approaches to designing positive linear observers for positive linear systems are proposed. The first one employs a coordinates transformation and the second relies on the theory of positive realization. These approaches allow one to enlarge the class of positive systems that admit positive linear observers. New results on compartmental systems are also presented. [ABSTRACT FROM AUTHOR]

Published
2008
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