In this paper, a particular structure of the characteristic values found in some classes of systems is dealt with. In particular, for the linear time-invariant systems in minimal form (A, B, C, D) with transfer function matrix G(s) for which if Î¼i is a characteristic value, then also (Formula presented.) is. Consequently, when the system order is odd, a singular value is equal to one. The classes of systems for which this property holds are characterised by the existence of specific state-space representations. Moreover, the same structure of the characteristic values can be also retrieved for the class of even, (G(s)Â = GT(âs)), and odd (G(s)Â = âGT(âs)) systems. Several examples related to Multi Input Multi Output (MIMO) systems are reported, also referring to real physical systems.
|Titolo:||The structure of characteristic values for classes of linear time-invariant systems|
|Data di pubblicazione:||2019|
|Appare nelle tipologie:||1.1 Articolo in rivista|
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