Computation of the Stabilizing Solution of Nash-Riccati Equations
Consider an iterative modification of the linearized Newton method for computing the minimal nonnegative solution of a a nonsymmetric Nash-Riccati equation. The equation has arisen in linear quadratic games for positive systems. The Newton procedure for computing the minimal nonnegative solution is...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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College of Education, Al-Iraqia University
2023-04-01
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| Series: | Iraqi Journal for Computer Science and Mathematics |
| Subjects: | |
| Online Access: | https://journal.esj.edu.iq/index.php/IJCM/article/view/527 |
| Summary: | Consider an iterative modification of the linearized Newton method for computing the minimal nonnegative solution of a
a nonsymmetric Nash-Riccati equation. The equation has arisen in linear quadratic
games for positive systems. The Newton procedure for computing the minimal nonnegative solution is well known in the
the literature. Our proposal is effective one because it employs small number of matrix multiplication at each iteration step and there is a variant to exploit the block structure of matrix coefficients of the Nash-Riccati equation. Moreover, in this reason, it is easy to extend the proposed iterative modification depending on the number of players of a given game model. We provide a numerical example where compare the results from experiment with the proposed iteration an the linearized Newton method.
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| ISSN: | 2958-0544 2788-7421 |