Abstract
Periodic descriptor system with nonnegative restrictions and its associated invariant cyclically augmented system (ICAS) are analyzed. The weakly cyclic structure of the state matrix in ICAS plays an important role in developing the theory of structural properties in the periodic case. In this paper, the influence of the structure of state matrices and monodromy matrices on the positively reachable periodic descriptor system has been analyzed. Finally, a characterization of the positive reachability property for positive periodic descriptor systems is derived when the matrix properties are used.
Partially supported by Spanish grants BFM2001-2783 and BFM2001-0081-C03- 02
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Cantó, B., Coll, C., Sánchez, E. A Characterization of Reachable Positive Periodic Descriptor Systems. In: Benvenuti, L., De Santis, A., Farina, L. (eds) Positive Systems. Lecture Notes in Control and Information Science, vol 294. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-44928-7_34
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DOI: https://doi.org/10.1007/978-3-540-44928-7_34
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-40342-5
Online ISBN: 978-3-540-44928-7
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