Almost sure asymptotic stabilization of differential equations with time-varying delay by Lévy noise

DOI10.1007/s11071-014-1653-1zbMath1331.60111OpenAlexW2057176054MaRDI QIDQ494888

Weiqun Wang, José Luis Menaldi, De-zhi Liu

Publication date: 2 September 2015

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://digitalcommons.wayne.edu/cgi/viewcontent.cgi?article=1086&context=mathfrp

zbMATH Keywords

stabilizationstochastic differential equationsLévy noiseLMIsalmost surely asymptotically stable

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stabilization of systems by feedback (93D15) Asymptotic stability in control theory (93D20) Stochastic functional-differential equations (34K50) Generation, random and stochastic difference and differential equations (37H10)

Related Items (4)

Classical robots perturbed by Lévy processes: analysis and Lévy disturbance rejection methods ⋮ Stepanov-like almost automorphic solutions for stochastic differential equations with Lévy noise ⋮ Stabilization for hybrid stochastic differential equations driven by Lévy noise via periodically intermittent control ⋮ Stabilisation of hybrid stochastic systems with Lévy noise by discrete-time feedback control

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