### Abstract

In this paper we consider the linear, quadratic regulator problem for a class of infinite dimensional systems involving dynamic boundary conditions. Two results are presented one of which contains control cost and the other does not. The first one uses the standard coercivity condition and second uses controllability. The optimal control law is given by the solution of appropriate operator Riccati differential equations.

Original language | English |
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Pages (from-to) | 527-537 |

Number of pages | 11 |

Journal | Dynamics of Continuous, Discrete and Impulsive Systems Series B: Application and Algorithm |

Volume | 4 |

Issue number | 4 |

Publication status | Published - Dec 1998 |

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### ASJC Scopus subject areas

- Analysis
- Applied Mathematics
- Discrete Mathematics and Combinatorics

### Cite this

**Linear quadratic regulator for systems governed by B-evolutions.** / Ahmed, N. U.; Kerbal, S.

Research output: Contribution to journal › Article

*Dynamics of Continuous, Discrete and Impulsive Systems Series B: Application and Algorithm*, vol. 4, no. 4, pp. 527-537.

}

TY - JOUR

T1 - Linear quadratic regulator for systems governed by B-evolutions

AU - Ahmed, N. U.

AU - Kerbal, S.

PY - 1998/12

Y1 - 1998/12

N2 - In this paper we consider the linear, quadratic regulator problem for a class of infinite dimensional systems involving dynamic boundary conditions. Two results are presented one of which contains control cost and the other does not. The first one uses the standard coercivity condition and second uses controllability. The optimal control law is given by the solution of appropriate operator Riccati differential equations.

AB - In this paper we consider the linear, quadratic regulator problem for a class of infinite dimensional systems involving dynamic boundary conditions. Two results are presented one of which contains control cost and the other does not. The first one uses the standard coercivity condition and second uses controllability. The optimal control law is given by the solution of appropriate operator Riccati differential equations.

UR - http://www.scopus.com/inward/record.url?scp=3042926974&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=3042926974&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:3042926974

VL - 4

SP - 527

EP - 537

JO - Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms

JF - Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms

SN - 1492-8760

IS - 4

ER -