Solutions to Lyapunov stability problems of sets: Nonlinear systems with differentiable motions

DOI10.1155/S0161171294000141zbMath0792.34047OpenAlexW2170262911MaRDI QIDQ1321856

Ljubomir T. Grujic

Publication date: 3 May 1994

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/46953

zbMATH Keywords

autonomous nonlinear systemconstruction of a Lyapunov functionexact determination of the domain of attraction of an asymptotically stable invariant set

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Nonlinear ordinary differential equations and systems (34A34) Asymptotic stability in control theory (93D20) Stability of solutions to ordinary differential equations (34D20) Stability of manifolds of solutions to ordinary differential equations (34D35)

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Novel lyapunov stability methodology for nonlinear systems: Complete solutions

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