### Abstract

The authors derive the algebraic operator Riccati equation for the beam equation with a quadratic like index consisting of the first-order partial differential operator in spatial variables. The derivation is based on the maximum principle and the costate system equation. The authors find the exact analytical solution of the algebraic operator Riccati equation for a class of operators which are equivalent to the integal operators having infinite sum kernels (they may not be summable). Under the assumption that all the operators in the equation have the same eigenfunctions, the exact analytical solution for the equation is obtained and some aspects of the solution are investigated.

Original language | English |
---|---|

Pages (from-to) | 2333-2334 |

Number of pages | 2 |

Journal | Proceedings of the American Control Conference |

Volume | 88 pt 1-3 |

Publication status | Published - 1 Dec 1988 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Electrical and Electronic Engineering

### Cite this

*Proceedings of the American Control Conference*,

*88 pt 1-3*, 2333-2334.

**Exact Riccati equation solution for optimal control of a flexible beam with a quadratic-like cost functional.** / Tang, T. S.; Huang, Garng Morton.

Research output: Contribution to journal › Conference article

*Proceedings of the American Control Conference*, vol. 88 pt 1-3, pp. 2333-2334.

}

TY - JOUR

T1 - Exact Riccati equation solution for optimal control of a flexible beam with a quadratic-like cost functional.

AU - Tang, T. S.

AU - Huang, Garng Morton

PY - 1988/12/1

Y1 - 1988/12/1

N2 - The authors derive the algebraic operator Riccati equation for the beam equation with a quadratic like index consisting of the first-order partial differential operator in spatial variables. The derivation is based on the maximum principle and the costate system equation. The authors find the exact analytical solution of the algebraic operator Riccati equation for a class of operators which are equivalent to the integal operators having infinite sum kernels (they may not be summable). Under the assumption that all the operators in the equation have the same eigenfunctions, the exact analytical solution for the equation is obtained and some aspects of the solution are investigated.

AB - The authors derive the algebraic operator Riccati equation for the beam equation with a quadratic like index consisting of the first-order partial differential operator in spatial variables. The derivation is based on the maximum principle and the costate system equation. The authors find the exact analytical solution of the algebraic operator Riccati equation for a class of operators which are equivalent to the integal operators having infinite sum kernels (they may not be summable). Under the assumption that all the operators in the equation have the same eigenfunctions, the exact analytical solution for the equation is obtained and some aspects of the solution are investigated.

UR - http://www.scopus.com/inward/record.url?scp=0024138985&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0024138985&partnerID=8YFLogxK

M3 - Conference article

VL - 88 pt 1-3

SP - 2333

EP - 2334

JO - Proceedings of the American Control Conference

JF - Proceedings of the American Control Conference

SN - 0743-1619

ER -