### Abstract

In this note we consider the static output feedback linear quadratic control problem.We present both necessary and sufficient conditions under which this problem has a solution in case the involved cost depend only on the output and control variables.This result is used to present both necessary and sufficient conditions under which the corresponding linear quadratic differential game has a Nash equilibrium in case the players use static output feedback control.

Original language | English |
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Place of Publication | Tilburg |

Publisher | Macroeconomics |

Number of pages | 12 |

Volume | 2006-108 |

Publication status | Published - 2006 |

### Publication series

Name | CentER Discussion Paper |
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Volume | 2006-108 |

### Keywords

- LQ theory
- Algebraic Riccati equations
- Differential games

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## Cite this

Engwerda, J. C., & Weeren, A. J. T. M. (2006).

*A Result on Output Feedback Linear Quadratic Control*. (CentER Discussion Paper; Vol. 2006-108). Macroeconomics.