### Abstract

Some of the simplest classes of linear-quadratic-Gaussian (LQG) problems involving the dual role of control are studied. Neither analytical tools nor numerical methods are known to exist for such problems. This dual role signifies that in addition to minimizing a quadratic cost, the control explicitly determines the quality of information transmitted to the next stage. It is shown that indirect techniques (information-theoretic bounds or the construction of related zero-sum games) can be used to obtain the optimal solution for some classes of such problems; these optimal solutions are linear and can be found by solving a related parameter optimization problem. For other classes of problems it is established that nonlinear strategies indeed outperform the optimal linear strategies.

Original language | English (US) |
---|---|

Pages (from-to) | 252-257 |

Number of pages | 6 |

Journal | Proceedings of the IEEE Conference on Decision and Control |

State | Published - Dec 1 1988 |

Event | Proceedings of the 27th IEEE Conference on Decision and Control - Austin, TX, USA Duration: Dec 7 1988 → Dec 9 1988 |

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### ASJC Scopus subject areas

- Control and Systems Engineering
- Modeling and Simulation
- Control and Optimization

### Cite this

*Proceedings of the IEEE Conference on Decision and Control*, 252-257.

**On problems exhibiting a dual role of control.** / Bansal, Rajesh; Basar, Tamer.

Research output: Contribution to journal › Conference article

*Proceedings of the IEEE Conference on Decision and Control*, pp. 252-257.

}

TY - JOUR

T1 - On problems exhibiting a dual role of control

AU - Bansal, Rajesh

AU - Basar, Tamer

PY - 1988/12/1

Y1 - 1988/12/1

N2 - Some of the simplest classes of linear-quadratic-Gaussian (LQG) problems involving the dual role of control are studied. Neither analytical tools nor numerical methods are known to exist for such problems. This dual role signifies that in addition to minimizing a quadratic cost, the control explicitly determines the quality of information transmitted to the next stage. It is shown that indirect techniques (information-theoretic bounds or the construction of related zero-sum games) can be used to obtain the optimal solution for some classes of such problems; these optimal solutions are linear and can be found by solving a related parameter optimization problem. For other classes of problems it is established that nonlinear strategies indeed outperform the optimal linear strategies.

AB - Some of the simplest classes of linear-quadratic-Gaussian (LQG) problems involving the dual role of control are studied. Neither analytical tools nor numerical methods are known to exist for such problems. This dual role signifies that in addition to minimizing a quadratic cost, the control explicitly determines the quality of information transmitted to the next stage. It is shown that indirect techniques (information-theoretic bounds or the construction of related zero-sum games) can be used to obtain the optimal solution for some classes of such problems; these optimal solutions are linear and can be found by solving a related parameter optimization problem. For other classes of problems it is established that nonlinear strategies indeed outperform the optimal linear strategies.

UR - http://www.scopus.com/inward/record.url?scp=0024178525&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0024178525&partnerID=8YFLogxK

M3 - Conference article

AN - SCOPUS:0024178525

SP - 252

EP - 257

JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

SN - 0191-2216

ER -