Criterion for the stability of all moments of a particular stochastic system

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Criterion for the stability of all moments of a particular stochastic system

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It is shown that, for stochastic systems with multiplicative noise, all moments may be asymptotically stable for some values of the noise intensities. For a particular stochastic system, a criterion is derived.

Inspec keywords: stochastic systems; stability; noise

Other keywords: noise intensities; asymptotic stability; stochastic system; moments; stability; multiplicative noise

Subjects: Stability in control theory; Time-varying control systems

References

    1. 1)
      • D. Arnold . (1973) , Stochastische Differentialgleichungen.
    2. 2)
      • H. Kushner . (1967) , Stochastic stability and control.
    3. 3)
      • S. Barnett , C. Storey . (1970) , Matrix methods in stability theory.
http://iet.metastore.ingenta.com/content/journals/10.1049/el_19750205
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Erratum: Criterion for the stability of all moments of a particular stochastic system