Sufficient stability conditions for polynomial systems

DOI10.1007/s10778-020-00992-1zbMath1441.37040OpenAlexW3017917460MaRDI QIDQ2200727

V. A. Chernienko, Anatoly Martynyuk

Publication date: 22 September 2020

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

Full work available at URL: https://doi.org/10.1007/s10778-020-00992-1

zbMATH Keywords

Lyapunov stabilitypolynomial systemspractical stabilityfinite-time stabilityestimate of Lyapunov function

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

Related Items (4)

Stabilization of the motion of nonautonomous polynomial systems ⋮ On stability of motion of polynomial systems with aftereffect ⋮ 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 analysis of nonlinear systems
• Stability of polynomial-model automatic control systems
• Stabilization of the motion of pseudo-linear affine systems
• Constructive estimation of the Lyapunov function for quadratic nonlinear systems
• Robust stabilization of bilinear systems under interval initial conditions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Sufficient stability conditions for polynomial systems