M. V. Mulyukov, “Stability of three-parameter systems of two linear differential equations with delay. Part II”, Sib. Èlektron. Mat. Izv., 2019, Volume 16,Pages <nobr>2055

Differentical equations, dynamical systems and optimal control

Stability of three-parameter systems of two linear differential equations with delay. Part II

M. V. Mulyukov^ab

^a Perm National Research Polytechnic University, 29, Komsomolskiy ave., Perm, 614990, Russia
^b Perm State National Research University, 15, Bukireva str., Perm, 614990, Russia

Abstract: The system of two linear autonomous differential equations with a limited delay and a term without delay is considered. Complete classification of all three-parameter systems is obtained. For every such system the stability criterion in analytic and geometric form is obtained.

Keywords: system of differential equations with delay, autonomous equations, asymptotic stability, stability domain, D-subdivision method.

UDC: 517.929

MSC: 34K06, 34K20

Received July 12, 2019, published December 26, 2019

DOI: 10.33048/semi.2019.16.146