Strong structural controllability of colored structured systems

Jia, Jiajia; Trentelman, Harry L.; Charalampidis, Nikolaos; Camlibel, M. Kanat

doi:10.1016/j.sysconle.2021.104924

Cited by 2 publications

(1 citation statement)

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“…Finally, it would be worthwhile to investigate extensions of our work to more general classes of structured systems, e.g., structured systems that allow given nonzero or arbitrary entries to be constrained to take identical values (see [9], [22]). The latter has been motivated by the fact that nonzero parameters in physical systems are seldom independent, e.g., due to symmetry or due to physical constraints.…”

Section: Discussionmentioning

confidence: 99%

Properties of Pattern Matrices With Applications to Structured Systems

Shali

Waarde

Camlibel

et al. 2022

IEEE Control Syst. Lett.

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In cases where we do not have the exact parameter values of a mathematical model, we often have at least some structural information, e.g., that some parameters are nonzero. Such information can be captured by socalled pattern matrices, whose symbolic entries are used to represent the available information about the corresponding parameters. In this letter, we focus on pattern matrices with three types of symbolic entries: those that represent zero, nonzero, and arbitrary parameters. We formally define and study addition and multiplication of such pattern matrices. The results are then used in the algebraic characterization of three strong structural properties. In particular, we provide sufficient conditions for controllability of linear descriptor systems, necessary and sufficient conditions for input-state observability, and sufficient conditions for output controllability of linear systems.

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Section: Discussionmentioning

confidence: 99%