Partial stability analysis of stochastic differential equations with a general decay rate

DOI10.1007/s10665-021-10164-wzbMath1478.93706OpenAlexW3198208006WikidataQ115383925 ScholiaQ115383925MaRDI QIDQ2061431

Faten Ezzine, Tomás Caraballo Garrido, Mohamed Ali Hammami

Publication date: 13 December 2021

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10665-021-10164-w

zbMATH Keywords

Itô formulastochastic systemsdecay functionLyapunov constructionpartial almost sure practical stability

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stochastic stability in control theory (93E15)

Related Items (7)

On the practical stability with regard to a part of the variables for distribution-dependent SDEs driven by time-changed Brownian motion ⋮ Estimates of exponential convergence for solutions of stochastic nonlinear systems ⋮ Stability with respect to a part of the variables of stochastic nonlinear systems driven by G-Brownian motion ⋮ New criterion of stability for time-varying dynamical systems: application to spring-mass-damper model ⋮ Practical stability with respect to a part of the variables of stochastic differential equations driven by G-Brownian motion ⋮ Unnamed Item ⋮ A new result on stabilization analysis for stochastic nonlinear affine systems via Gamidov's inequality

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The partial stability of motion
• Partial asymptotic stability in probability of stochastic differential equations
• Stability theory by Liapunov's direct method
• Stabilization of stochastic differential equations driven by \(G\)-Brownian motion with feedback control based on discrete-time state observation
• Practical exponential stability of impulsive stochastic functional differential equations
• Stochastic stabilization of differential systems with general decay rate
• On the practical global uniform asymptotic stability of stochastic differential equations
• Robust stability and boundedness of stochastic differential equations with delay driven by G-Brownian motion
• ALMOST SURE POLYNOMIAL STABILITY FOR A CLASS OF STOCHASTIC DIFFERENTIAL EQUATIONS
• Asymptotic Stability of Nonlinear Stochastic Evolution Equations
• Global stabilization of the spinning top with mass imbalance
• Practical Asymptotic Stability of Nonlinear Stochastic Evolution Equations

This page was built for publication: Partial stability analysis of stochastic differential equations with a general decay rate