Constructive estimation of the Lyapunov function for quadratic nonlinear systems

DOI10.1007/s10778-018-0886-yzbMath1397.70031OpenAlexW2883133672MaRDI QIDQ1794753

V. A. Chernienko, Anatoly Martynyuk, Denis Ya. Khusainov

Publication date: 15 October 2018

Published in: International Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10778-018-0886-y

zbMATH Keywords

Lyapunov functionboundedness of motionequations with quadratic nonlinearity

Mathematics Subject Classification ID

Lyapunov and storage functions (93D30) General perturbation schemes for nonlinear problems in mechanics (70K60) Characteristic and Lyapunov exponents of ordinary differential equations (34D08)

Related Items (6)

Exponential stability and boundedness of nonlinear perturbed systems by unbounded perturbation terms ⋮ On stability of motion of polynomial systems with aftereffect ⋮ Sufficient stability conditions for polynomial systems ⋮ 40 years of the direct matrix-valued Lyapunov function method (review) ⋮ Boundedness of solutions of conformable fractional equations of perturbed motion ⋮ Estimating the Lyapunov function and stability of motion of a system with equations of motion with an asymptotically expanded right-hand side

Cites Work

• Stability theory and the existence of periodic solutions and almost periodic solutions
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