Orbital stability and Zhukovskiǐ quasi-stability in impulsive dynamical systems
Open Mathematics, 2022 In this article, we deal with orbital stability and Zhukovskiǐ quasi-stability of periodic or recurrent orbits in an impulsive dynamical system defined in the n-dimensional Euclidean space Rn{{\mathbb{R}}}^{n}.
Li Kehua, Ding Changming
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On quasistability of a vector combinatorial problem with \Sigma-MINMAX and \Sigma-MINMIN partial criteria [PDF]
Computer Science Journal of Moldova, 2004 We consider one type of stability (quasistability) of a vector combinatorial problem of finding the Pareto set. Under quasistability we understand a discrete analogue of lower semicontinuity by Hausdorff of the many-valued mapping, which defines the ...
Vladimir A. Emelichev +2 more
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Measure of stability of a Pareto optimal solution to a vector integer programming problem with fixed surcharges in the l1 and l∞ metrics [PDF]
Computer Science Journal of Moldova, 2005 In this paper we consider a vector integer programming problem with Pareto principle of optimality for the case where partial criteria belong to the class of separable piecewise linear functions. The limit level of the initial data's perturbations in the
Vladimir A. Emelichev +2 more
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Entropy, 2017 The emergence of complex datasets permeates versatile research disciplines leading to the necessity to develop methods for tackling complexity through finding the patterns inherent in datasets.
Slobodan Maletić, Yi Zhao
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Stability, pseudostability and quasistability of vector trajectorial lexicographic optimization problem [PDF]
Computer Science Journal of Moldova, 1998 Lower bounds of stability, pseudostability and quasistability radii of lexicographic set in vector combinatorial problem on systems of subsets of finite set with partial criteria of more general kinds have been found.
R. Berdysheva, V. Emelichev, E. Girlich
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Journal of Numerical Analysis and Approximation Theory, 2006 multicriteria linear combinatorial problem is considered, principle of optimality of which is defined by a partitioning of partial criteria onto groups with Slater preference relation within each group and the lexicographic preference relation ...
Vladimir A. Emelichev +1 more
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On quasistability radius of a vector trajectorial problem with a principle of optimality generalizing Pareto and lexicographic principles [PDF]
Computer Science Journal of Moldova, 2005 A multicriterion linear combinatorial problem with a parametric principle of optimality is considered. This principle is defined by a partitioning of partial criteria onto Pareto preference relation groups within each group and the lexicographic ...
Sergey E. Bukhtoyarov +1 more
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On strong quasistability of a vector problem on substitutions [PDF]
Computer Science Journal of Moldova, 2001 A type of the stability of the Pareto, Smale, and Slater sets for a problem of minimizing linear forms over an arbitrary set of substitutions of the symmetric group is investigated.
V.A. Emelichev, V.G. Pakhilka
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Quasi-stability of a vector trajectorial problem with non-linear partial criteria [PDF]
Computer Science Journal of Moldova, 2003 Multi-objective (vector) combinatorial problem of finding the Pareto set with four kinds of non-linear partial criteria is considered. Necessary and sufficient conditions of that kind of stability of the problem (quasi-stability) are obtained.
Vladimir A. Emelichev +1 more
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Strong stability and strong quasistability of vector trajectorial problem of lexicographic optimization [PDF]
Computer Science Journal of Moldova, 1998 Two types of stability of the lexicographic set for the multicriteria problem on a system of subsets of a finite set with the vector criterion of the most general kind are investigated.
V.A. Emelichev, R.A. Berdysheva
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