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 |
|---|---|
| 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.
In: Dynamics of Continuous, Discrete and Impulsive Systems Series B: Application and Algorithm, Vol. 4, No. 4, 12.1998, p. 527-537.Research output: Contribution to journal › Article
}
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
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 -