Conditions for asymptotic stability of first order scalar differential-difference equation with complex coefficients

• Autorzy: Kapica Rafał , Zawiski Radosław

Identyfikatory

DOI

10.24425/acs.2023.146962

• Języki publikacji: EN

Abstrakty

EN

We investigate a scalar characteristic exponential polynomial with complex coefficients associated with a first order scalar differential-difference equation. Our analysis provides necessary and sufficient conditions for allocation of the roots in the complex open left half-plane what guarantees asymptotic stability of the differential-difference equation. The conditions are expressed explicitly in terms of complex coefficients of the characteristic exponential polynomial, what makes them easy to use in applications. We show examples including those for retarded PDEs in an abstract formulation.

Słowa kluczowe

EN

first order differential-difference equation with complex coefficients; stability of differential-difference equation; characteristic exponential polynomial of differential-difference equation; retarded differential-difference equation; DDE

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2023
• Tom: Vol. 33, No. 3
• Strony: 607--629
• Opis fizyczny: Bibliogr. 18 poz., rys., wzory

Twórcy

autor

Kapica Rafał

• Faculty of Applied Mathematics, AGH University of Science and Technology, al. Mickiewicza 30, 30-059 Kraków

• https://orcid.org/0000-0001-9659-9836

autor

Zawiski Radosław

• Department of Automatic Control and Robotics, Silesian University of Technology, ul. Akademicka 16, 44-100 Gliwice

• https://orcid.org/0000-0001-9640-7726

Bibliografia

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