Displaying similar documents to “Realization theory for linear and bilinear switched systems: A formal power series approach”

Realization theory for linear and bilinear switched systems: A formal power series approach

Mihály Petreczky (2011)

ESAIM: Control, Optimisation and Calculus of Variations

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This paper is the second part of a series of papers dealing with realization theory of switched systems. The current Part II addresses realization theory of bilinear switched systems. In Part I [Petreczky, , DOI: 10.1051/cocv/2010014] we presented realization theory of linear switched systems. More precisely, in Part II we present necessary and sufficient conditions for a family of input-output maps to be realizable by a bilinear switched system, together with a characterization of minimal...

Realization theory for linear and bilinear switched systems: A formal power series approach

Mihály Petreczky (2011)

ESAIM: Control, Optimisation and Calculus of Variations

Similarity:

The paper represents the first part of a series of papers on realization theory of switched systems. Part I presents realization theory of linear switched systems, Part II presents realization theory of bilinear switched systems. More precisely, in Part I necessary and sufficient conditions are formulated for a family of input-output maps to be realizable by a linear switched system and a characterization of minimal realizations is presented. The paper treats two types of switched...

Realization theory for linear and bilinear switched systems: A formal power series approach

Mihály Petreczky (2011)

ESAIM: Control, Optimisation and Calculus of Variations

Similarity:

The paper represents the first part of a series of papers on realization theory of switched systems. Part I presents realization theory of linear switched systems, Part II presents realization theory of bilinear switched systems. More precisely, in Part I necessary and sufficient conditions are formulated for a family of input-output maps to be realizable by a linear switched system and a characterization of minimal realizations is presented. The paper treats two types of switched...

Some gap power series in multidimensional setting

Józef Siciak (2011)

Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica

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We study extensions of classical theorems on gap power series of a complex variable to the multidimensional case.

On Sequences Defined by D0L Power Series

Juha Honkala (2010)

RAIRO - Theoretical Informatics and Applications

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We study D0L power series over commutative semirings. We show that a sequence () of nonzero elements of a field A is the coefficient sequence of a D0L power series if and only if there exist a positive integer and integers for 1 ≤ ≤ such that c n + k = c n + k - 1 β 1 c n + k - 2 β 2 ... c n β k for all ≥ 0. As a consequence we solve the equivalence problem of D0L power series over computable fields.