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On the minus partial order in control systems

Author

Listed:
  • Coll, C.
  • Herrero, A.
  • Sánchez, E.
  • Thome, N.

Abstract

In this paper, the minus matrix partial order is considered to introduce the concept of minus partial ordered control systems. The transmission of the reachability property under this binary relation is investigated. Furthermore, the analysis of compartmental systems leads us to consider block triangular matrices. Hence, the existence and computation of partially ordered matrices having a similar block structure are studied. These results are applied to compartmental systems to get, via feedback, related systems with the same block structure and ordered under the minus partial order.

Suggested Citation

  • Coll, C. & Herrero, A. & Sánchez, E. & Thome, N., 2020. "On the minus partial order in control systems," Applied Mathematics and Computation, Elsevier, vol. 386(C).
    • Handle: RePEc:eee:apmaco:v:386:y:2020:i:c:s0096300320304859
    DOI: 10.1016/j.amc.2020.125529
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    References listed on IDEAS

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    1. Herrero, A. & Thome, N., 2020. "Sharp partial order and linear autonomous systems," Applied Mathematics and Computation, Elsevier, vol. 366(C).
    2. Mosić, Dijana & Cvetković-Ilić, Dragana S., 2016. "Some orders for operators on Hilbert spaces," Applied Mathematics and Computation, Elsevier, vol. 275(C), pages 229-237.
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    Cited by:

    1. Wang, Hongxing & Liu, Xiaoji, 2021. "Solutions of the matrix inequality AXA≤?A in some partial orders," Applied Mathematics and Computation, Elsevier, vol. 396(C).

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