Casti, J.L.
(1975).
*A new equation for the linear regulator problem.*
Journal of Optimization Theory and Applications 17 (1) 169-175. 10.1007/BF00933922.

## Abstract

In this article, a new equation is derived for the optimal feedback gain matrix characterizing the solution of the standard linear regulator problem. It will be seen that, in contrast to the usual algebraic Riccati equation which requires the solution of n(n + 1)/2 quadratically nonlinear algebraic equations, the new equation requires the solution of only nm such equations, where m is the number of system input terminals and n is the dimension of the state vector of the system. Utilizing the new equation, results are presented for the inverse problem of linear control theory.

Item Type: | Article |
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Uncontrolled Keywords: | Algebraic Riccati equations; Dimensionality reduction; Inverse problem; Optimal feedback control |

Research Programs: | System and Decision Sciences - Core (SDS) |

Bibliographic Reference: | Journal of Optimization Theory and Applications; 17(1-2):169-175 (October 1975) |

Depositing User: | IIASA Import |

Date Deposited: | 15 Jan 2016 01:41 |

Last Modified: | 27 Aug 2021 17:07 |

URI: | https://pure.iiasa.ac.at/211 |

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