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Optimal Stationary Control with State and Control Dependent Noise

Authors: U. G. Haussmann

Published: 1971 (Journal Paper)

Source: SIAM Journal on Control

Algorithm: Multiplicative Noise LQR

DOI: 10.1137/0309016

Summary

Generalizes stochastic LQR to linear systems where noise depends on both the state and the control input, deriving modified Riccati equations for the optimal stationary feedback law. Extends the results of Wonham (1967) to the control-dependent noise case.

Abstract

Tags

  • Stochastic control

  • Multiplicative noise

  • State-dependent noise

  • Control-dependent noise

  • Algebraic Riccati equation

  • Optimal control