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Communication Dans Un Congrès Année : 2006

A new algorithm for solving coupled algebraic Riccati equations

Résumé

In order to obtain a closed-loop strategies in Nash differential game with infinite horizon, one needs to solve a system of coupled algebraic Riccati equations. Under standard conditions it is not yet known if solutions for such equations exist. One way to achieve that goal is to consider discrete dynamical systems, whose fixed points (if they exist) are solutions of the problem under study. These discrete dynamical systems of coupled algebraic Riccati equations can also serve as numerical algorithms to compute possible solutions. In this paper, we propose a new discrete dynamical system. Through the study of pertinent examples, we show numerically that this algorithm behaves better than the existing ones, both in terms of convergence speed and detection of a stabilizable solution (when it exists).
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Dates et versions

hal-02320787 , version 1 (19-10-2019)

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Lynda Cherfi, Yacine Chitour, Hisham Abou-Kandil. A new algorithm for solving coupled algebraic Riccati equations. International Conference on Computational Intelligence for Modelling, Control and Automation/International Conference on Intelligent Agents Web Technologies and International Commerce, Nov 2005, Vienna, Austria. pp.83-88, ⟨10.1109/CIMCA.2005.1631246⟩. ⟨hal-02320787⟩
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