J Austral Math Soc Ser B 40 pp459--468, 1998.

On the square-root method for continuous-time algebraic Riccati equations

Linzhang Lu and C. E. M. Pearce

(Received 12 September 1995; revised 2 October 1997)

Abstract

We give a simple and transparent proof for the square-root method of solving the continuous-time algebraic Riccati equation. We examine some benefits of combining the square-root method with other solution methods. The iterative square-root method is also discussed. Finally, paradigm numerical examples are given to compare the square-root method with the Schur method.

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Authors

Linzhang Lu
Mathematics Department, Xiamen University, Fujian, P. R. China.
C. E. M. Pearce
Applied Mathematics Department, Adelaide University, Adelaide SA 5005, Australia.

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