Quadratic stability of dynamical systems with perturbations

DOI10.1016/S0020-7462(98)00086-9zbMath1020.70010OpenAlexW2048571403MaRDI QIDQ1609262

Andrzej Ossowski

Publication date: 15 August 2002

Published in: International Journal of Non-Linear Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0020-7462(98)00086-9

zbMATH Keywords

nonlinear oscillatorsexponential stabilityperturbationsquadratic stabilitynon-autonomous dynamical systemsstability indexoptimal Lyapunov functions

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Stability of solutions to ordinary differential equations (34D20)

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NEW METHOD FOR THE ESTIMATION OF DOMAINS OF ATTRACTION OF FIXED POINTS FROM LYAPUNOV FUNCTIONS ⋮ Exponential control of equilibrium positions of a rigid body using quaternions.

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