Positive invertibility of matrices and stability of Itô delay differential equations

DOI10.1134/S0012266117050019zbMath1373.34121OpenAlexW2625693318MaRDI QIDQ2399568

Arcady Ponosov, R. I. jun. Kadiev

Publication date: 24 August 2017

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266117050019

zbMATH Keywords

global exponential \(p\)-stabilitypositive invertibility of a matrix

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Stochastic functional-differential equations (34K50)

Related Items (6)

Stability analysis of solutions of continuous-discrete stochastic systems with aftereffect by a regularization method ⋮ Partial stability of systems of Itô linear delay differential equations ⋮ Positive invertibility of matrices and exponential stability of impulsive systems of Itô linear differential equations with bounded delays ⋮ Stability of Impulse Systems of Two Linear Ito Differential Equations with Delay ⋮ Positive invertibility of matrices and exponential stability of linear stochastic systems with delay ⋮ Global stability of systems of nonlinear Itô differential equations with aftereffect and N. V. Azbelev's \(W\)-method

Cites Work

• New global exponential stability criteria for nonlinear delay differential systems with applications to BAM neural networks
• Solutions of nonlinear impulsive Itô functional-differential equations: stability by the linear approximation
• Stability of stochastic functional differential equations with respect to first approximation
• The existence and uniqueness of solution to Cauchy problem for functional-differential equations with respect to a semimartingale
• Matrix Analysis
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