Using multicomponent Lyapunov functions to analyze the absolute parametric stability of singularly perturbed uncertain mechanical systems

DOI10.1007/s10778-014-0625-yzbMath1294.70020OpenAlexW2041293783MaRDI QIDQ740528

A. S. Khoroshun

Publication date: 3 September 2014

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

Full work available at URL: https://doi.org/10.1007/s10778-014-0625-y

zbMATH Keywords

absolute parametric stabilityvector Lyapunov functionmatrix-valued Lyapunov functionmulticomponent Lyapunov functionsingularly perturbed nonlinear uncertain system

Mathematics Subject Classification ID

Lyapunov and storage functions (93D30) Control of mechanical systems (70Q05) Stability of solutions to ordinary differential equations (34D20) Singular perturbations of ordinary differential equations (34D15)

Related Items (4)

On parametric stabilization of uncertain singularly perturbed systems ⋮ On navigation sensor error correction ⋮ Stabilization of the upper equilibrium position of a pendulum by spinning an inertial flywheel ⋮ Revisiting the theory of stability over a finite interval

Cites Work

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• Singular Perturbations on the Infinite Interval
• Singular perturbation of absolute stability
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