Linear Stochastic Control Using the UDUT Matrix Factorization

Catherine L. Thornton; Robert A. Jacobson · Journal of Guidance Control and Dynamics · 1978

The classical LQG stochastic control law is reformulated using the matrix factorization S equals UDU super T. This method yields a statistical guidance analysis algorithm that is numerically superior to the classical solution yet requires negligible additional computation and storage. Moreover, experience with U-D algorithms has shown them to be adaptable and easy to implement on a variety of problems.

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