An algorithm for the construction of liapunov functions

DOI10.1016/0362-546X(81)90013-4zbMath0501.93045OpenAlexW2056224664MaRDI QIDQ3967440

M. Namik Oguztoereli, Vangipuram Lakshmikantham, S. G. Leela

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0362-546x(81)90013-4

zbMATH Keywords

Lyapunov functionautonomous systemnon-autonomous systemMathieu differential equation

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Stability of solutions to ordinary differential equations (34D20) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (3)

On the construction of the Lyapunov function with sign-definite derivative with the help of auxiliary functions with sign-constant derivatives ⋮ Special issue: Lakshmikantham's legacy: a tribute on his 75th birthday ⋮ A brief biography and survey of collected works of V. Lakshmikantham

Cites Work

• Stability by Liapunov's direct method. With applications
• Nonlinear autonomous oscillations. Analytical theory
• Stability of motion
• A Goursat problem for the fourth moment equation
• Liapunov Stability Criteria for Continuous Systems Under Parametric Excitation
• The analytical design of control systems
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