Higher-Order Derivatives of Lyapunov Functions and Partial Boundedness of Solutions with Partially Controllable Initial Conditions
Matematičeskie zametki, Tome 101 (2017) no. 6, pp. 883-893

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Certain sufficient criteria for the types of partial boundedness of solutions with partially controllable initial conditions are obtained in terms of higher-order derivatives of the Lyapunov functions.
Keywords: Lyapunov function, Lyapunov vector function, higher-order derivatives, boundedness of solutions with respect to part of the variables, partially controllable initial conditions.
@article{MZM_2017_101_6_a8,
     author = {K. S. Lapin},
     title = {Higher-Order {Derivatives} of {Lyapunov} {Functions} and {Partial} {Boundedness} of {Solutions} with {Partially} {Controllable} {Initial} {Conditions}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {883--893},
     publisher = {mathdoc},
     volume = {101},
     number = {6},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2017_101_6_a8/}
}
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K. S. Lapin. Higher-Order Derivatives of Lyapunov Functions and Partial Boundedness of Solutions with Partially Controllable Initial Conditions. Matematičeskie zametki, Tome 101 (2017) no. 6, pp. 883-893. http://geodesic.mathdoc.fr/item/MZM_2017_101_6_a8/