Span-reachability and observability of bilinear hybrid systems

Mihaly Petreczky; Jan H. van Schuppen

doi:10.1016/j.automatica.2010.01.008

Span-reachability and observability of bilinear hybrid systems

Mihaly Petreczky^*, Jan H. van Schuppen

^*Corresponding author for this work

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

The paper presents an algebraic characterization of observability and span-reachability of bilinear hybrid systems without guards, i.e. hybrid systems whose continuous dynamics are determined by bilinear control systems, and whose discrete transitions are triggered externally. The proposed characterization provides necessary and sufficient conditions for observability and span-reachability in terms of rank conditions for generalized observability and controllability matrices. This characterization is useful for the system theory of bilinear hybrid systems, in particular, it is used in the realization theory of bilinear hybrid systems, (Petreczky, 2006).

Original language	English
Pages (from-to)	501-509
Number of pages	9
Journal	Automatica
Volume	46
Issue number	3
DOIs	https://doi.org/10.1016/j.automatica.2010.01.008
Publication status	Published - 2010

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10.1016/j.automatica.2010.01.008

Cite this

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AU - Schuppen, Jan H. van

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AB - The paper presents an algebraic characterization of observability and span-reachability of bilinear hybrid systems without guards, i.e. hybrid systems whose continuous dynamics are determined by bilinear control systems, and whose discrete transitions are triggered externally. The proposed characterization provides necessary and sufficient conditions for observability and span-reachability in terms of rank conditions for generalized observability and controllability matrices. This characterization is useful for the system theory of bilinear hybrid systems, in particular, it is used in the realization theory of bilinear hybrid systems, (Petreczky, 2006).

U2 - 10.1016/j.automatica.2010.01.008

DO - 10.1016/j.automatica.2010.01.008

M3 - Article

SN - 0005-1098

VL - 46

SP - 501

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JO - Automatica

JF - Automatica

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