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A Parameter Estimate Associated with the Adaptive Control of Stochastic Systems

  • T. E. Duncan
  • B. Pasik-Duncan
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 83)

Abstract

Many physical phenomena are modeled by stochastic systems. Typically some parameters of the system are unknown so that these parameters must be estimated and often it is required to control this system. In this paper the parameter estimation problem is considered for this combined adaptive control problem. The unknown parameters appear affinely in the drift term of the stochastic differential equation that describes the nonlinear stochastic system. It is shown that the family of maximum likelihood estimates based on the observations of the system for increasing time are strongly consistent.

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Copyright information

© Springer Science+Business Media Dordrecht 1986

Authors and Affiliations

  • T. E. Duncan
    • 1
  • B. Pasik-Duncan
    • 1
  1. 1.Department of MathematicsUniversity of KansasLawrenceUSA

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