On the exponential stability of stochastic perturbed singular systems in mean square

DOI10.1007/s00245-020-09734-8zbMath1472.93152OpenAlexW3127953928WikidataQ115608599 ScholiaQ115608599MaRDI QIDQ2234312

Faten Ezzine, Tomás Caraballo Garrido, Mohamed Ali Hammami

Publication date: 19 October 2021

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00245-020-09734-8

zbMATH Keywords

stabilizationBrownian motionnontrivial solutionItô formulaLyapunov techniquesconsistent initial conditionspractical exponential stability in mean squarestochastic perturbed singular systems

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Time-scale analysis and singular perturbations in control/observation systems (93C70) Stochastic stability in control theory (93E15) Exponential stability (93D23)

Related Items (7)

Central exponents of linear stochastic differential-algebraic equations of index 1 ⋮ Estimates of exponential convergence for solutions of stochastic nonlinear systems ⋮ New criterion of stability for time-varying dynamical systems: application to spring-mass-damper model ⋮ Stability analysis of time-varying perturbed descriptor systems ⋮ B-essential spectra of \(2 \times 2\) block operator matrix pencils ⋮ A new result on stabilization analysis for stochastic nonlinear affine systems via Gamidov's inequality ⋮ Almost sure exponential stability of nonlinear stochastic delay hybrid systems driven by \(G\)-Brownian motion

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