Florchinger, Patrick A stochastic Jurdjevic-Quinn theorem for the stabilization of nonlinear stochastic differential systems. (English) Zbl 0997.93096 Stochastic Anal. Appl. 19, No. 3, 473-480 (2001). The author presents a feedback control by means of which one can globally asymptotically stabilize (in probability) a stochastic nonlinear control system satisfying a Jurdjevic-Quinn type condition. The result generalizes a pertinent theorem of H. Bensoubaya, A. Ferfara and A. Iggidr. Reviewer: V.Wihstutz (Charlotte) Cited in 5 Documents MSC: 93E15 Stochastic stability in control theory 93D15 Stabilization of systems by feedback 93C10 Nonlinear systems in control theory 93D20 Asymptotic stability in control theory Keywords:asymptotic stability in probability; Lyapunov functions; Jurdjevic-Quinn condition; global stabilization PDF BibTeX XML Cite \textit{P. Florchinger}, Stochastic Anal. Appl. 19, No. 3, 473--480 (2001; Zbl 0997.93096) Full Text: DOI References: [1] Bensoubaya M., Comptes Rendus de l’Académie des Sciences de Paris 323 pp 427– (1996) [2] DOI: 10.1080/07362999808809515 · Zbl 0897.93052 [3] DOI: 10.1080/07362999408809364 · Zbl 0810.60051 [4] Florchinger, P. ”A stochastic Jurdjevic-Quinn theorem. Submitted for publication”. · Zbl 1014.60062 [5] DOI: 10.1016/0022-0396(78)90135-3 · Zbl 0417.93012 [6] Khasminskii R. Z., Stochastic stability of differential equations (1980) [7] Kushner H. J., Lecture Notes in Mathematics 294 pp 97– (1972) [8] Outbib R., Systems and Control Letters 18 pp 93– (1992) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.