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Solving the scalar feedback Nash algebraic Riccati equations: an eigenvector approach

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1 Author(s)
Engwerda, J.C. ; Dept. of Econ. & O.R., Tilburg Univ., Netherlands

In this note, we present an algorithm to compute all solutions of the scalar algebraic Riccati equations that play an important role in finding feedback Nash equilibria of the scalar N-player linear-quadratic differential game. We show that all appropriate solutions can be obtained by analyzing the eigenstructure of a related matrix.

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Automatic Control, IEEE Transactions on  (Volume:48 ,  Issue: 5 )