Explicit commutativity conditions for second-order linear time-varying systems with non-zero initial conditions

• Autorzy: Koksal Mehmet Emir

Identyfikatory

DOI

10.24425/acs.2019.130204

• Języki publikacji: EN

Abstrakty

EN

Although the explicit commutativitiy conditions for second-order linear time-varying systems have been appeared in some literature, these are all for initially relaxed systems. This paper presents explicit necessary and sufficient commutativity conditions for commutativity of second-order linear time-varying systems with non-zero initial conditions. It has appeared interesting that the second requirement for the commutativity of non-relaxed systems plays an important role on the commutativity conditions when non-zero initial conditions exist. Another highlight is that the commutativity of switched systems is considered and spoiling of commutativity at the switching instants is illustrated for the first time. The simulation results support the theory developed in the paper.

Słowa kluczowe

EN

commutativity; linear systems; analogue control; robust control; differential; equations; non-zero initial conditions

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2019
• Tom: Vol. 29, No. 3
• Strony: 529--548
• Opis fizyczny: Bibliogr. 43 poz., rys., wykr., wzory

Twórcy

autor

Koksal Mehmet Emir

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

Bibliografia

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Uwagi

EN

2. This study was supported by the Scientific and Technological Research Council of Turkey (TUBITAK) under the project no. 115E952.

PL

3. Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).