Proceedings of the ISCIE International Symposium on Stochastic Systems Theory and its Applications
Online ISSN : 2188-4749
Print ISSN : 2188-4730
The 50th ISCIE International Symposium on Stochastic Systems Theory and Its Applications (Nov. 2018, KYOTO)
Nash Tracking Game with Preview by State Feedback for Linear Continuous-Time Systems
Gou Nakura
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Keywords: Tracking with Preview, Feedback Nash equilibrium, Soft-constrained games, Cross-coupled Riccati differential equations, Cross-coupled preview compensator dynamics
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2019 Volume 2019 Pages 49-55

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Abstract

In this paper, we study Nash tracking game problems with preview for linear continuous-time systems over finite time intervals. We introduce cross-coupled differential Riccati equations (CDREs) to give solutions of the tracking problems with multi-players. Corresponding to the coupled properties of the CDREs, the forms of preview compensator dynamics are cross-coupled. In this paper, we focus on the derivation of the necessary conditions for the solvability of the tracking problems by variational approach.

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© 2019 ISCIE Symposium on Stochastic Systems Theory and Its Applications
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