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Digital
Library of the European Council for Modelling and Simulation |
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Title: |
Positivity And Stability
Of Descriptor Continuous-Time Linear Systems With Interval State Matrices |
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Authors: |
Tadeusz Kaczorek |
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Published in:
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(2018). ECMS 2018
Proceedings Edited by: Lars Nolle, Alexandra
Burger, Christoph Tholen,
Jens Werner, Jens Wellhausen European Council for
Modeling and Simulation. doi:
10.7148/2018-0005 ISSN:
2522-2422 (ONLINE) ISSN:
2522-2414 (PRINT) ISSN:
2522-2430 (CD-ROM) 32nd European Conference on Modelling and Simulation, Wilhelmshaven, Germany, May 22nd
– May 265h, 2018 |
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Citation
format: |
Tadeusz Kaczorek (2018). Positivity And
Stability Of Descriptor Continuous-Time Linear Systems With Interval State
Matrices, ECMS 2018 Proceedings Edited by:
Lars Nolle, Alexandra Burger, Christoph
Tholen, Jens Werner, Jens Wellhausen
European Council for Modeling and Simulation. doi: 10.7148/2018-0269 |
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DOI: |
https://doi.org/10.7148/2018-0269 |
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Abstract: |
Necessary and sufficient conditions for the
positivity and stability of descriptor continuous-time linear systems with
interval state matrices are established. The convex linear combination of the
Hurwitz polynomials of positive descriptor linear systems is analyzed. It is
shown that the convex linear combination of the Hurwitz polynomials of
positive linear systems is also the Hurwitz polynomial. The Kharitonov theorem is extended to the positive descriptor
linear systems with interval state matrices. |
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text: |
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