Positive invertibility of matrices and exponential stability of impulsive systems of Itô linear differential equations with bounded delays

DOI10.3103/S1066369X20080034zbMath1454.60078OpenAlexW3082029926WikidataQ115488677 ScholiaQ115488677MaRDI QIDQ2225883

Arcady Ponosov, R. I. jun. Kadiev

Publication date: 11 February 2021

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x20080034

zbMATH Keywords

matricesstability of solutionsItô equationspositive invertibilityimpulse actionsbounded delays

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stability theory of functional-differential equations (34K20) Stochastic functional-differential equations (34K50)

Related Items

Stability analysis of solutions of continuous-discrete stochastic systems with aftereffect by a regularization method ⋮ Global stability of systems of nonlinear Itô differential equations with aftereffect and N. V. Azbelev's \(W\)-method

Cites Work

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• Solutions of nonlinear impulsive Itô functional-differential equations: stability by the linear approximation
• Stability of linear impulsive Itô differential equations with bounded delays
• Stability of solutions of linear impulsive systems of Itô differential equations with aftereffect
• Exponential stability of linear delay impulsive differential equations
• The existence and uniqueness of solution to Cauchy problem for functional-differential equations with respect to a semimartingale
• Impulsive stabilization of stochastic differential equations with time delays
• Positive invertibility of matrices and stability of Itô delay differential equations
• Global stability of sets for linear
• Boundedness and Stability of Impulsively Perturbed Delay Differential Equations