Risk-sensitive optimal control

書誌事項

Risk-sensitive optimal control

Peter Whittle

(Wiley-Interscience series in systems and optimization)

Wiley, c1990

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注記

Includes bibliographical references (p. 241-244) and index

内容説明・目次

内容説明

The two major themes of this book are risk-sensitive control and path-integral or Hamiltonian formulation. It covers risk-sensitive certainty-equivalence principles, the consequent extension of the conventional LQG treatment and the path-integral formulation.

目次

  • Part 1 LQG theory summarized: LQG structure, certainty equivalence
  • the Markov case - control rules
  • the Markov case - state estimation
  • the complete dualization of past and future. Part 2 Risk sensitivity, the LEQG formulation: the risk-sensitive certainty-equivalence principle
  • the Markov case - future stress and control
  • the Markov case - past stress and estimation
  • the infinite horizon - limits, break-down points and policy improvement. Part 3 The path-integral (Hamiltonian) approach: path-integral methods, the formalism
  • the Markov case - recursions and factorizations
  • higher-order models - the general path-integral formalism
  • canonical factorization in the control context
  • the recoupling of past future
  • continuous time - the path-integral formalism
  • continuous time - control optimization. Part 4 Connections and variations: the relationship of the LEQG criterion to H and entropy criteria
  • variants.

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