Abstract
The authors deal with the problem of exponential stabilisation for continuous-time stochastic systems. Several equivalent characterisations are presented for exponential stability of continuous-time stochastic systems. The relationship between decay rate and the spectral abscissa of an operator associated with a stochastic system is investigated. On the basis of this relationship, optimal controllers are designed for continuous-time stochastic systems. Finally, an example is provided to illustrate the method.
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