In: Tatra Mountains Mathematical Publications, vol. 71, no. 1
Irada Dzhalladova - Miroslava Růžičková
Detaily:
Rok, strany: 2019, 71 - 80
Kľúčové slová:
nonlinear differential systems,
asymptotic stability of the trivial solution, quadratic Lyapunov functions,
Lyapunov matrix equation, estimation of convergence of solutions.
Typ článku: Mathematics
O článku:
The algorithm for estimating the stability domain of zero equilibrium to the system of nonlinear differential equations with a quadratic part and a fractional part is proposed in the article. The second Lyapunov method with quadratic Lyapunov functions is used as a method for studying such systems.
Ako citovať:
ISO 690:
Dzhalladova, I., Růžičková, M. 2019. Stability of the equilibrium of nonlinear dynamical systems. In Tatra Mountains Mathematical Publications, vol. 71, no.1, pp. 71-80. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2018-0007
APA:
Dzhalladova, I., Růžičková, M. (2019). Stability of the equilibrium of nonlinear dynamical systems. Tatra Mountains Mathematical Publications, 71(1), 71-80. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2018-0007
O vydaní:
Vydavateľ: MÚ SAV
Publikované: 2. 1. 2019