RT Journal Article SR Electronic A1 HRUBINA, Kamil A1 JADLOVSKÁ, Anna A1 MAJERČÁK, Jozef T1 LJAPUNOV STABILITY THEORY OF LINEAR AND NONLINEAR SYSTEMS AND TRANSFORMATION JF Trends in education YR 2010 VO 3 IS 1 SP 104 OP 108 UL https://tvv-journal.upol.cz/en/artkey/tvv-201001-0023.php AB The paper deals with the investigation of nonlinear systems stability, a characteristic exponent and asymptotic stability. It also deals with the Lyapunov transformation to carry out a linear system whose matrix elements are functions of a system with a constant matrix.