@ARTICLE{Kapica_Rafał_Conditions_2023,
 author={Kapica, Rafał and Zawiski, Radosław},
 volume={vol. 33},
 number={No 3},
 journal={Archives of Control Sciences},
 pages={607-629},
 howpublished={online},
 year={2023},
 publisher={Committee of Automatic Control and Robotics PAS},
 abstract={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.},
 type={Article},
 title={Conditions for asymptotic stability of first order scalar differential-difference equation with complex coefficients},
 URL={http://www.czasopisma.pan.pl/Content/128389/PDF/art07_int.pdf},
 doi={10.24425/acs.2023.146962},
 keywords={first order differential-difference equation with complex coefficients, stability ofdifferential-difference equation, characteristic exponential polynomial of differential-differenceequation, retarded differential-difference equation (DDE)},
}