Abstract
In this paper, an implicit iterative algorithm is proposed to obtain the unique positive definite solution of the continuous algebraic Riccati matrix equation. In this proposed algorithm, there exists a tuning parameter which can be appropriately chosen such that the algorithm achieves better convergence performance. A sufficient condition is given for the convergence of the proposed algorithm. Moreover, an approach is also provided to choose an appropriate initial condition. Finally, a numerical example is employed to show the effectiveness of the proposed algorithm.
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