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Electrical Engineering and Systems Science > Systems and Control

arXiv:2108.03889 (eess)
[Submitted on 9 Aug 2021 (v1), last revised 20 Sep 2021 (this version, v2)]

Title:Reachability of Dimension-Bounded Linear Systems

Authors:Yiliang Li, Haitao Li, Jun-e Feng, Jinjin Li
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Abstract:In this paper, the reachability of dimension-bounded linear systems is this http URL state dimensions of dimension-bounded linear systems vary with time, the expression of state dimension at each time is provided.A method for judging the reachability of a given vector space is proposed. In addition, this paper proves that the t-step reachable subset is a linear space, and gives a computing method. The t-step reachability of a given state is verified via a rank condition. Furthermore, annihilator polynomials are discussed and used to illustrate the relationship between the invariant space and the reachable subset after the invariant time point t*. The inclusion relation between reachable subsets at times t*+i and t*+j is shown via an example.
Subjects: Systems and Control (eess.SY)
Cite as: arXiv:2108.03889 [eess.SY]
  (or arXiv:2108.03889v2 [eess.SY] for this version)
  https://doi.org/10.48550/arXiv.2108.03889

Submission history

From: June Feng [view email]
[v1] Mon, 9 Aug 2021 09:19:01 UTC (156 KB)
[v2] Mon, 20 Sep 2021 07:56:42 UTC (165 KB)
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