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VB Gorokhovik (2007)
Konechnomernye zadachi optimizatsii
(2007)
Konechnomernye zadachi optimizatsii (Finite-Dimensional Optimization Problems)
P. Absil, Krzysztof Kurdyka (2006)
On the stable equilibrium points of gradient systemsSyst. Control. Lett., 55
(1993)
On instability of equilibrium of holonomic conservative systems, Prikl
(1983)
Vpolne razreshimye mnogomernye differentsial’nye uravneniya (Completely Solvable Multidimensional Differential Equations)
IV Gaishun (1983)
Vpolne razreshimye mnogomernye differentsial’nye uravneniya
(1982)
Conditions for the stability of the solutions of autonomous completely integrable equations
We study the Lyapunov stability of equilibria of gradient systems. We describe the class of functions generating the right-hand side of a gradient system for which sufficient condition for a nonstrict local minimum are also stability conditions for the equilibria. The corresponding extremum conditions for functions of several variables are given. Stability tests for completely solvable systems with a multidimensional independent variable are stated.
Differential Equations – Springer Journals
Published: Apr 24, 2019
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