Lyapunov stability and sign definiteness of a quadratic form in a cone

DOI10.1016/0021-8928(86)90018-3zbMath0628.70023OpenAlexW1997715815MaRDI QIDQ1093394

L. B. Rapoport

Publication date: 1986

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(86)90018-3

zbMATH Keywords

asymptotic stabilitysufficient conditionssecond Lyapunov methodconvex polyhedral conesign definiteness of a quadratic formsystem with resonance

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20)

Related Items (6)

Multimode bifurcations of elastic equilibria ⋮ On stability when a singular point is non-isolated ⋮ Method of the application of matrix functions in stability theory ⋮ The use of high-order forms in stability analysis ⋮ Stability of the equilibrium of a system with unilateral constraints and the sign-definiteness of a pencil of quadratic forms in a cone ⋮ The sign-definiteness criterion of a homogeneous polynomial in a cone

Cites Work

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• Linear inequalities and quadratic forms
• The stability of multidimensional Hamiltonian systems
• On stability in the presence of several resonances

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