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Extensions to elementary operation algorithm construction of nD Roesser model - MaRDI portal

Extensions to elementary operation algorithm construction of nD Roesser model (Q2702546)

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Extensions to elementary operation algorithm construction of nD Roesser model
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    2 July 2001
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    repetitive processes
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    linear discrete systems
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    elementary operation algorithm
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    realization
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    nD Roesser model
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    Extensions to elementary operation algorithm construction of nD Roesser model (English)
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    Linear discrete systems with several independent variables and constant coefficients are considered. Using an elementary operation algorithm, the state space realization problem for the nD Roesser model of discrete processes is effectively solved. Next, special cases are also separately investigated and discussed. Simple numerical examples which illustrate theoretical considerations are also presented and discussed in detail. Finally, several remarks and comments on the realization problem for multivariable discrete control systems with several independent variables are given. The relationships to the results existing in the literature are also pointed out. It should be stressed that a similar realization problem for the 2D Roesser model has been considered by the author using the elementary operation algorithm [IEEE Trans. Circuits Syst., I, Fundam. Theory Appl. 44, No. 2, 120-129 (1997; Zbl 0874.93028)].NEWLINENEWLINEFor the entire collection see [Zbl 0952.00062].
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