# Decomposition of a second-order linear time-varying differential system as the series connection of two first order commutative pairs

Open Mathematics (2016)

- Volume: 14, Issue: 1, page 693-704
- ISSN: 2391-5455

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topMehmet Emir Koksal. "Decomposition of a second-order linear time-varying differential system as the series connection of two first order commutative pairs." Open Mathematics 14.1 (2016): 693-704. <http://eudml.org/doc/287079>.

@article{MehmetEmirKoksal2016,

abstract = {Necessary and sufficiently conditions are derived for the decomposition of a second order linear time- varying system into two cascade connected commutative first order linear time-varying subsystems. The explicit formulas describing these subsystems are presented. It is shown that a very small class of systems satisfies the stated conditions. The results are well verified by simulations. It is also shown that its cascade synthesis is less sensitive to numerical errors than the direct simulation of the system itself.},

author = {Mehmet Emir Koksal},

journal = {Open Mathematics},

keywords = {Differential equations; Analogue control; Equivalent circuits; Feedback circuits; Feedback control systems; Robust control; differential equations; analogue control; equivalent circuits; feedback circuits; feedback control systems; robust control},

language = {eng},

number = {1},

pages = {693-704},

title = {Decomposition of a second-order linear time-varying differential system as the series connection of two first order commutative pairs},

url = {http://eudml.org/doc/287079},

volume = {14},

year = {2016},

}

TY - JOUR

AU - Mehmet Emir Koksal

TI - Decomposition of a second-order linear time-varying differential system as the series connection of two first order commutative pairs

JO - Open Mathematics

PY - 2016

VL - 14

IS - 1

SP - 693

EP - 704

AB - Necessary and sufficiently conditions are derived for the decomposition of a second order linear time- varying system into two cascade connected commutative first order linear time-varying subsystems. The explicit formulas describing these subsystems are presented. It is shown that a very small class of systems satisfies the stated conditions. The results are well verified by simulations. It is also shown that its cascade synthesis is less sensitive to numerical errors than the direct simulation of the system itself.

LA - eng

KW - Differential equations; Analogue control; Equivalent circuits; Feedback circuits; Feedback control systems; Robust control; differential equations; analogue control; equivalent circuits; feedback circuits; feedback control systems; robust control

UR - http://eudml.org/doc/287079

ER -

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