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arXiv · 1706.05828

The geometry of the generalized algebraic Riccati equation and of the singular Hamiltonian system

Lorenzo Ntogramatzidis·Augusto Ferrante
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Abstract

This paper analyzes the properties of the solutions of the generalized continuous algebraic Riccati equation from a geometric perspective. This analysis reveals the presence of a subspace that may provide an appropriate degree of freedom to stabilize the system in the related optimal control problem even in cases where the Riccati equation does not admit a stabilizing solution.

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Lorenzo Ntogramatzidis, Augusto Ferrante. 2017-06-19. The geometry of the generalized algebraic Riccati equation and of the singular Hamiltonian system. https://arxiv.org/abs/1706.05828

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