On application of the Lyapunov matrix-functions in the theory of stability

DOI10.1016/0362-546X(85)90102-6zbMath0609.34057OpenAlexW2022776540MaRDI QIDQ3749387

Anatoly Martynyuk

Publication date: 1985

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(85)90102-6

zbMATH Keywords

first order differential equationLyapunov matrix-function

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20)

Related Items (10)

Qualitative analysis of nonlinear systems by the method of matrix Lyapunov functions ⋮ Stability analysis of nonlinear systems on the basis of the matrix Lyapunov function (survey) ⋮ The Lyapunov matrix-function and stability of hybrid systems ⋮ Expansion of the space state of dynamic systems and the stability problem ⋮ Stability analysis with respect to two measures for population growth models of Kolmogorov type ⋮ Stochastic matrix–valued lyapunove function and its application ⋮ Several results and real problems in the theory of periodic motions and nonlinear mechanics (review) ⋮ 40 years of the direct matrix-valued Lyapunov function method (review) ⋮ Sliding mode control for multi-agent systems under a time-varying topology ⋮ Uniform asymptotic stability of a singularly perturbed system via the Lyapunov matrix-function

Cites Work

• The Lyapunov matrix-function
• Lyapunov-like solutions for stability problems of the most general stationary Lurie-Postnikov systems
• Quasi-solutions, vector Lyapunov functions, and monotone method
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