Stability and asymptotic behaviour of a two-dimensional differential system with delay

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Authors

KALAS Josef BARÁKOVÁ Lenka

Year of publication 2002
Type Article in Periodical
Magazine / Source Journal of Mathematical Analysis and Applications
MU Faculty or unit

Faculty of Science

Citation
Field General mathematics
Keywords Asymptotic behaviour; stability; boundedness of solutions; two-dimensional system; method of complexification; Lyapunov-Krasovskii functional.
Description Stability and asymptotic behaviour of a real two-dimensional system with delay are studied. The method of investigation is based on the transformation of the considered real system to one equation with complex-valued coefficients. Stability and asymptotic propertis of this equation are studied by means of a suitable Lyapunov-Krasovskii functional.
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