- Tytuł:
- Conditions for asymptotic stability of first order scalar differential-difference equation with complex coefficients
- Autorzy:
-
Kapica, Rafał
Zawiski, Radosław - Powiązania:
- https://bibliotekanauki.pl/articles/27314669.pdf
- Data publikacji:
- 2023
- Wydawca:
- Polska Akademia Nauk. Czasopisma i Monografie PAN
- Tematy:
-
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 - Opis:
- 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.
- Źródło:
-
Archives of Control Sciences; 2023, 33, 3; 607--629
1230-2384 - Pojawia się w:
- Archives of Control Sciences
- Dostawca treści:
- Biblioteka Nauki
Artykuł