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

• Autorzy: Mehmet Emir Koksal
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Differential equations; Analogue control; Equivalent circuits; Feedback circuits; Feedback control systems; Robust control

Kategorie tematyczne

• 93C99: None of the above, but in this section
• 93B35: Sensitivity (robustness)
• 93A30: Mathematical modeling (models of systems, model-matching, etc.)
• 34H99: None of the above, but in this section
• 93C15: Systems governed by ordinary differential equations
• 93C05: Linear systems

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2016
• Tom: 14
• Numer: 1
• Strony: 693-704

Daty

wydano

2016-01-01

otrzymano

2016-07-28

zaakceptowano

2016-08-26

online

2016-10-06

Twórcy

autor

Mehmet Emir Koksal

• Department of Mathematics, Ondokuz Mayis University, 55139 Atakum, Samsun,

Identyfikatory

DOI

10.1515/math-2016-0059