Robust Properties of Risk-Sensitive Control

نویسندگان

  • Paul Dupuis
  • Matthew R. James
  • Ian R. Petersen
چکیده

The purpose of the present paper is to precisely characterize and prove robustness properties of risk sensitive controllers. In particular, we establish a stochastic version of the small gain theorem. This theorem is expressed in terms of an inequality which bounds the average output power in terms of the input power. Since this inequality is closely related to the risk-sensitive criterion, our stochastic small gain theorem can be expressed in terms of the risk-sensitive criterion. This provides a concrete motivation for the use of the risk-sensitive criterion stochastic robustness.

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عنوان ژورنال:
  • MCSS

دوره 13  شماره 

صفحات  -

تاریخ انتشار 2000