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

ESAIM: Control, Optimisation and Calculus of Variations (2011)

- Volume: 17, Issue: 2, page 410-445
- ISSN: 1292-8119

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topPetreczky, Mihály. "Realization theory for linear and bilinear switched systems: A formal power series approach." ESAIM: Control, Optimisation and Calculus of Variations 17.2 (2011): 410-445. <http://eudml.org/doc/276332>.

@article{Petreczky2011,

abstract = {
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 systems.
The first one is when all switching sequences are allowed.
The second one is when only a subset of switching sequences is
admissible, but within this restricted set
the switching times are arbitrary.
The paper uses the theory of formal power series to derive
the results on realization theory.
},

author = {Petreczky, Mihály},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {Hybrid systems switched linear systems; switched bilinear systems; realization theory; formal power series; minimal realization; hybrid systems switched linear systems},

language = {eng},

month = {5},

number = {2},

pages = {410-445},

publisher = {EDP Sciences},

title = {Realization theory for linear and bilinear switched systems: A formal power series approach},

url = {http://eudml.org/doc/276332},

volume = {17},

year = {2011},

}

TY - JOUR

AU - Petreczky, Mihály

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

JO - ESAIM: Control, Optimisation and Calculus of Variations

DA - 2011/5//

PB - EDP Sciences

VL - 17

IS - 2

SP - 410

EP - 445

AB -
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 systems.
The first one is when all switching sequences are allowed.
The second one is when only a subset of switching sequences is
admissible, but within this restricted set
the switching times are arbitrary.
The paper uses the theory of formal power series to derive
the results on realization theory.

LA - eng

KW - Hybrid systems switched linear systems; switched bilinear systems; realization theory; formal power series; minimal realization; hybrid systems switched linear systems

UR - http://eudml.org/doc/276332

ER -

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