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A modified Newton's method for rational Riccati equations arising in stochastic control

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4 Author(s)
Chu, E.K. ; Sch. of Math. Sci., Monash Univ., Clayton, VIC, Australia ; Tiexiang Li ; Wen-Wei Lin ; Chang-Yi Weng

We consider the solution of the rational matrix equations, or generalized algebraic Riccati equations with rational terms, arising in stochastic optimal control in continuous- and discrete-time. Fixed-point iteration and (modified) Newton's methods will be considered. In particular, the convergence results of a new modified Newton's method, for both continuous- and discrete-time rational Riccati equations, will be presented.

Published in:
Communications, Computing and Control Applications (CCCA), 2011 International Conference on

Date of Conference: 3-5 March 2011

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