The stability cone for a matrix delay difference equation.
Kipnis, M.M., Malygina, V.V. (2011)
International Journal of Mathematics and Mathematical Sciences
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Kipnis, M.M., Malygina, V.V. (2011)
International Journal of Mathematics and Mathematical Sciences
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Ginchev, Ivan (2010)
Union of Bulgarian Mathematicians
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Иван Гинчев - Класът на ℓ-устойчивите в точка функции, дефиниран в [2] и разширяващ класа на C1,1 функциите, се обобщава от скаларни за векторни функции. Доказани са някои свойства на ℓ-устойчивите векторни функции. Показано е, че векторни оптимизационни задачи с ограничения допускат условия от втори ред изразени чрез посочни производни, което обобщава резултати от [2] и [5]. The class of ℓ-stable at a point functions defined in [2] and being larger than the class of C1,1...
J. Auslander, P. Seibert (1964)
Annales de l'institut Fourier
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Les auteurs étudient la notion de prolongement au sens de T. Ura et ses relations avec la notion d’ensembles positivement invariants. La stabilité au sens de Liapounoff est équivalente à l’invariance par prolongement. Les auteurs dégagent ensuite la notion de “prolongements abstraits” et les notions de stabilité correspondantes; la stabilité absolue (associée au prolongement minimal transitif) et la stabilité asymptotique jouent un rôle important.
Lupu, Mircea, Florea, Olivia, Lupu, Ciprian (2009)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Stutson, Donna, Vatsala, A.S. (1996)
Journal of Applied Mathematics and Stochastic Analysis
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Dušan Bednařík, Karel Pastor (2007)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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The aim of our article is to present a proof of the existence of local minimizer in the classical optimality problem without constraints under weaker assumptions in comparisons with common statements of the result. In addition we will provide rather elementary and self-contained proof of that result.
Marie Dvorská (2013)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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The aim of this paper is to summarize basic facts about -stable at a point vector functions and existing results for certain vector constrained programming problem with -stable data.